diff --git a/docs/guide/custom_policy.rst b/docs/guide/custom_policy.rst
index 85ae801..b490bd7 100644
--- a/docs/guide/custom_policy.rst
+++ b/docs/guide/custom_policy.rst
@@ -258,9 +258,31 @@ If your task requires even more granular control over the policy/value architect
 
 
 
-.. TODO (see https://github.com/DLR-RM/stable-baselines3/issues/113)
-.. Off-Policy Algorithms
-.. ^^^^^^^^^^^^^^^^^^^^^
-..
-.. If you need a network architecture that is different for the actor and the critic when using ``SAC``, ``DDPG`` or ``TD3``,
-.. you can easily redefine the actor class for instance.
+Off-Policy Algorithms
+^^^^^^^^^^^^^^^^^^^^^
+
+If you need a network architecture that is different for the actor and the critic when using ``SAC``, ``DDPG`` or ``TD3``,
+you can pass a dictionary of the following structure: ``dict(qf=[<critic network architecture>], pi=[<actor network architecture>])``.
+
+For example, if you want a different architecture for the actor (aka ``pi``) and the critic (Q-function aka ``qf``) networks,
+then you can specify ``net_arch=dict(qf=[400, 300], pi=[64, 64])``.
+
+Otherwise, to have actor and critic that share the same network architecture,
+you only need to specify ``net_arch=[256, 256]`` (here, two hidden layers of 256 units each).
+
+
+.. note::
+    Compared to their on-policy counterparts, no shared layers (other than the feature extractor)
+    between the actor and the critic are allowed (to prevent issues with target networks).
+
+
+.. code-block:: python
+
+  from stable_baselines3 import SAC
+
+  # Custom actor architecture with two layers of 64 units each
+  # Custom critic architecture with two layers of 400 and 300 units
+  policy_kwargs = dict(net_arch=dict(pi=[64, 64], qf=[400, 300]))
+  # Create the agent
+  model = SAC("MlpPolicy", "Pendulum-v0", policy_kwargs=policy_kwargs, verbose=1)
+  model.learn(5000)
diff --git a/docs/misc/changelog.rst b/docs/misc/changelog.rst
index 7a4bb69..f883c1e 100644
--- a/docs/misc/changelog.rst
+++ b/docs/misc/changelog.rst
@@ -12,6 +12,7 @@ Breaking Changes:
 
 New Features:
 ^^^^^^^^^^^^^
+- Allow custom actor/critic network architectures using ``net_arch=dict(qf=[400, 300], pi=[64, 64])`` for off-policy algorithms (SAC, TD3, DDPG)
 
 Bug Fixes:
 ^^^^^^^^^^
diff --git a/stable_baselines3/common/torch_layers.py b/stable_baselines3/common/torch_layers.py
index 43e7c5d..62539d8 100644
--- a/stable_baselines3/common/torch_layers.py
+++ b/stable_baselines3/common/torch_layers.py
@@ -219,3 +219,43 @@ class MlpExtractor(nn.Module):
         """
         shared_latent = self.shared_net(features)
         return self.policy_net(shared_latent), self.value_net(shared_latent)
+
+
+def get_actor_critic_arch(net_arch: Union[List[int], Dict[str, List[int]]]) -> Tuple[List[int], List[int]]:
+    """
+    Get the actor and critic network architectures for off-policy actor-critic algorithms (SAC, TD3, DDPG).
+
+    The ``net_arch`` parameter allows to specify the amount and size of the hidden layers,
+    which can be different for the actor and the critic.
+    It is assumed to be a list of ints or a dict.
+
+    1. If it is a list, actor and critic networks will have the same architecture.
+        The architecture is represented by a list of integers (of arbitrary length (zero allowed))
+        each specifying the number of units per layer.
+       If the number of ints is zero, the network will be linear.
+    2. If it is a dict,  it should have the following structure:
+       ``dict(qf=[<critic network architecture>], pi=[<actor network architecture>])``.
+       where the network architecture is a list as described in 1.
+
+    For example, to have actor and critic that share the same network architecture,
+    you only need to specify ``net_arch=[256, 256]`` (here, two hidden layers of 256 units each).
+
+    If you want a different architecture for the actor and the critic,
+    then you can specify ``net_arch=dict(qf=[400, 300], pi=[64, 64])``.
+
+    .. note::
+        Compared to their on-policy counterparts, no shared layers (other than the feature extractor)
+        between the actor and the critic are allowed (to prevent issues with target networks).
+
+    :param net_arch: The specification of the actor and critic networks.
+        See above for details on its formatting.
+    :return: The network architectures for the actor and the critic
+    """
+    if isinstance(net_arch, list):
+        actor_arch, critic_arch = net_arch, net_arch
+    else:
+        assert isinstance(net_arch, dict), "Error: the net_arch can only contain be a list of ints or a dict"
+        assert "pi" in net_arch, "Error: no key 'pi' was provided in net_arch for the actor network"
+        assert "qf" in net_arch, "Error: no key 'qf' was provided in net_arch for the critic network"
+        actor_arch, critic_arch = net_arch["pi"], net_arch["qf"]
+    return actor_arch, critic_arch
diff --git a/stable_baselines3/common/utils.py b/stable_baselines3/common/utils.py
index 8177842..5787265 100644
--- a/stable_baselines3/common/utils.py
+++ b/stable_baselines3/common/utils.py
@@ -2,6 +2,7 @@ import glob
 import os
 import random
 from collections import deque
+from itertools import zip_longest
 from typing import Callable, Iterable, Optional, Union
 
 import gym
@@ -286,6 +287,24 @@ def safe_mean(arr: Union[np.ndarray, list, deque]) -> np.ndarray:
     return np.nan if len(arr) == 0 else np.mean(arr)
 
 
+def zip_strict(*iterables: Iterable) -> Iterable:
+    r"""
+    ``zip()`` function but enforces that iterables are of equal length.
+    Raises ``ValueError`` if iterables not of equal length.
+    Code inspired by Stackoverflow answer for question #32954486.
+
+    :param \*iterables: iterables to ``zip()``
+    """
+    # As in Stackoverflow #32954486, use
+    # new object for "empty" in case we have
+    # Nones in iterable.
+    sentinel = object()
+    for combo in zip_longest(*iterables, fillvalue=sentinel):
+        if sentinel in combo:
+            raise ValueError("Iterables have different lengths")
+        yield combo
+
+
 def polyak_update(params: Iterable[th.nn.Parameter], target_params: Iterable[th.nn.Parameter], tau: float) -> None:
     """
     Perform a Polyak average update on ``target_params`` using ``params``:
@@ -303,6 +322,7 @@ def polyak_update(params: Iterable[th.nn.Parameter], target_params: Iterable[th.
     :param tau: the soft update coefficient ("Polyak update", between 0 and 1)
     """
     with th.no_grad():
-        for param, target_param in zip(params, target_params):
+        # zip does not raise an exception if length of parameters does not match.
+        for param, target_param in zip_strict(params, target_params):
             target_param.data.mul_(1 - tau)
             th.add(target_param.data, param.data, alpha=tau, out=target_param.data)
diff --git a/stable_baselines3/sac/policies.py b/stable_baselines3/sac/policies.py
index c11c437..744b0d0 100644
--- a/stable_baselines3/sac/policies.py
+++ b/stable_baselines3/sac/policies.py
@@ -1,4 +1,4 @@
-from typing import Any, Callable, Dict, List, Optional, Tuple, Type
+from typing import Any, Callable, Dict, List, Optional, Tuple, Type, Union
 
 import gym
 import torch as th
@@ -7,7 +7,13 @@ from torch import nn
 from stable_baselines3.common.distributions import SquashedDiagGaussianDistribution, StateDependentNoiseDistribution
 from stable_baselines3.common.policies import BasePolicy, ContinuousCritic, create_sde_features_extractor, register_policy
 from stable_baselines3.common.preprocessing import get_action_dim
-from stable_baselines3.common.torch_layers import BaseFeaturesExtractor, FlattenExtractor, NatureCNN, create_mlp
+from stable_baselines3.common.torch_layers import (
+    BaseFeaturesExtractor,
+    FlattenExtractor,
+    NatureCNN,
+    create_mlp,
+    get_actor_critic_arch,
+)
 
 # CAP the standard deviation of the actor
 LOG_STD_MAX = 2
@@ -220,7 +226,7 @@ class SACPolicy(BasePolicy):
         observation_space: gym.spaces.Space,
         action_space: gym.spaces.Space,
         lr_schedule: Callable,
-        net_arch: Optional[List[int]] = None,
+        net_arch: Optional[Union[List[int], Dict[str, List[int]]]] = None,
         activation_fn: Type[nn.Module] = nn.ReLU,
         use_sde: bool = False,
         log_std_init: float = -3,
@@ -250,6 +256,8 @@ class SACPolicy(BasePolicy):
             else:
                 net_arch = []
 
+        actor_arch, critic_arch = get_actor_critic_arch(net_arch)
+
         # Create shared features extractor
         self.features_extractor = features_extractor_class(self.observation_space, **self.features_extractor_kwargs)
         self.features_dim = self.features_extractor.features_dim
@@ -261,7 +269,7 @@ class SACPolicy(BasePolicy):
             "action_space": self.action_space,
             "features_extractor": self.features_extractor,
             "features_dim": self.features_dim,
-            "net_arch": self.net_arch,
+            "net_arch": actor_arch,
             "activation_fn": self.activation_fn,
             "normalize_images": normalize_images,
         }
@@ -275,7 +283,7 @@ class SACPolicy(BasePolicy):
         }
         self.actor_kwargs.update(sde_kwargs)
         self.critic_kwargs = self.net_args.copy()
-        self.critic_kwargs.update({"n_critics": n_critics})
+        self.critic_kwargs.update({"n_critics": n_critics, "net_arch": critic_arch})
 
         self.actor, self.actor_target = None, None
         self.critic, self.critic_target = None, None
@@ -300,7 +308,7 @@ class SACPolicy(BasePolicy):
 
         data.update(
             dict(
-                net_arch=self.net_args["net_arch"],
+                net_arch=self.net_arch,
                 activation_fn=self.net_args["activation_fn"],
                 use_sde=self.actor_kwargs["use_sde"],
                 log_std_init=self.actor_kwargs["log_std_init"],
@@ -374,7 +382,7 @@ class CnnPolicy(SACPolicy):
         observation_space: gym.spaces.Space,
         action_space: gym.spaces.Space,
         lr_schedule: Callable,
-        net_arch: Optional[List[int]] = None,
+        net_arch: Optional[Union[List[int], Dict[str, List[int]]]] = None,
         activation_fn: Type[nn.Module] = nn.ReLU,
         use_sde: bool = False,
         log_std_init: float = -3,
diff --git a/stable_baselines3/td3/policies.py b/stable_baselines3/td3/policies.py
index 62601c4..a4d5cea 100644
--- a/stable_baselines3/td3/policies.py
+++ b/stable_baselines3/td3/policies.py
@@ -1,4 +1,4 @@
-from typing import Any, Callable, Dict, List, Optional, Type
+from typing import Any, Callable, Dict, List, Optional, Type, Union
 
 import gym
 import torch as th
@@ -6,7 +6,13 @@ from torch import nn
 
 from stable_baselines3.common.policies import BasePolicy, ContinuousCritic, register_policy
 from stable_baselines3.common.preprocessing import get_action_dim
-from stable_baselines3.common.torch_layers import BaseFeaturesExtractor, FlattenExtractor, NatureCNN, create_mlp
+from stable_baselines3.common.torch_layers import (
+    BaseFeaturesExtractor,
+    FlattenExtractor,
+    NatureCNN,
+    create_mlp,
+    get_actor_critic_arch,
+)
 
 
 class Actor(BasePolicy):
@@ -101,7 +107,7 @@ class TD3Policy(BasePolicy):
         observation_space: gym.spaces.Space,
         action_space: gym.spaces.Space,
         lr_schedule: Callable,
-        net_arch: Optional[List[int]] = None,
+        net_arch: Optional[Union[List[int], Dict[str, List[int]]]] = None,
         activation_fn: Type[nn.Module] = nn.ReLU,
         features_extractor_class: Type[BaseFeaturesExtractor] = FlattenExtractor,
         features_extractor_kwargs: Optional[Dict[str, Any]] = None,
@@ -127,6 +133,8 @@ class TD3Policy(BasePolicy):
             else:
                 net_arch = []
 
+        actor_arch, critic_arch = get_actor_critic_arch(net_arch)
+
         self.features_extractor = features_extractor_class(self.observation_space, **self.features_extractor_kwargs)
         self.features_dim = self.features_extractor.features_dim
 
@@ -137,12 +145,13 @@ class TD3Policy(BasePolicy):
             "action_space": self.action_space,
             "features_extractor": self.features_extractor,
             "features_dim": self.features_dim,
-            "net_arch": self.net_arch,
+            "net_arch": actor_arch,
             "activation_fn": self.activation_fn,
             "normalize_images": normalize_images,
         }
+        self.actor_kwargs = self.net_args.copy()
         self.critic_kwargs = self.net_args.copy()
-        self.critic_kwargs.update({"n_critics": n_critics})
+        self.critic_kwargs.update({"n_critics": n_critics, "net_arch": critic_arch})
         self.actor, self.actor_target = None, None
         self.critic, self.critic_target = None, None
 
@@ -163,7 +172,7 @@ class TD3Policy(BasePolicy):
 
         data.update(
             dict(
-                net_arch=self.net_args["net_arch"],
+                net_arch=self.net_arch,
                 activation_fn=self.net_args["activation_fn"],
                 n_critics=self.critic_kwargs["n_critics"],
                 lr_schedule=self._dummy_schedule,  # dummy lr schedule, not needed for loading policy alone
@@ -176,7 +185,7 @@ class TD3Policy(BasePolicy):
         return data
 
     def make_actor(self) -> Actor:
-        return Actor(**self.net_args).to(self.device)
+        return Actor(**self.actor_kwargs).to(self.device)
 
     def make_critic(self) -> ContinuousCritic:
         return ContinuousCritic(**self.critic_kwargs).to(self.device)
@@ -217,7 +226,7 @@ class CnnPolicy(TD3Policy):
         observation_space: gym.spaces.Space,
         action_space: gym.spaces.Space,
         lr_schedule: Callable,
-        net_arch: Optional[List[int]] = None,
+        net_arch: Optional[Union[List[int], Dict[str, List[int]]]] = None,
         activation_fn: Type[nn.Module] = nn.ReLU,
         features_extractor_class: Type[BaseFeaturesExtractor] = NatureCNN,
         features_extractor_kwargs: Optional[Dict[str, Any]] = None,
diff --git a/tests/test_custom_policy.py b/tests/test_custom_policy.py
index 95f4a7c..6ebeda6 100644
--- a/tests/test_custom_policy.py
+++ b/tests/test_custom_policy.py
@@ -1,7 +1,7 @@
 import pytest
 import torch as th
 
-from stable_baselines3 import A2C, PPO, SAC, TD3
+from stable_baselines3 import A2C, DQN, PPO, SAC, TD3
 from stable_baselines3.common.sb2_compat.rmsprop_tf_like import RMSpropTFLike
 
 
@@ -19,22 +19,33 @@ from stable_baselines3.common.sb2_compat.rmsprop_tf_like import RMSpropTFLike
 )
 @pytest.mark.parametrize("model_class", [A2C, PPO])
 def test_flexible_mlp(model_class, net_arch):
-    _ = model_class("MlpPolicy", "CartPole-v1", policy_kwargs=dict(net_arch=net_arch), n_steps=100).learn(1000)
+    _ = model_class("MlpPolicy", "CartPole-v1", policy_kwargs=dict(net_arch=net_arch), n_steps=100).learn(300)
 
 
-@pytest.mark.parametrize("net_arch", [[4], [4, 4]])
+@pytest.mark.parametrize("net_arch", [[], [4], [4, 4], dict(qf=[8], pi=[8, 4])])
 @pytest.mark.parametrize("model_class", [SAC, TD3])
 def test_custom_offpolicy(model_class, net_arch):
-    _ = model_class("MlpPolicy", "Pendulum-v0", policy_kwargs=dict(net_arch=net_arch)).learn(1000)
+    _ = model_class("MlpPolicy", "Pendulum-v0", policy_kwargs=dict(net_arch=net_arch), learning_starts=100).learn(300)
 
 
 @pytest.mark.parametrize("model_class", [A2C, PPO, SAC, TD3])
 @pytest.mark.parametrize("optimizer_kwargs", [None, dict(weight_decay=0.0)])
 def test_custom_optimizer(model_class, optimizer_kwargs):
+    kwargs = {}
+    if model_class in {DQN, SAC, TD3}:
+        kwargs = dict(learning_starts=100)
+    elif model_class in {A2C, PPO}:
+        kwargs = dict(n_steps=100)
+
     policy_kwargs = dict(optimizer_class=th.optim.AdamW, optimizer_kwargs=optimizer_kwargs, net_arch=[32])
-    _ = model_class("MlpPolicy", "Pendulum-v0", policy_kwargs=policy_kwargs).learn(1000)
+    _ = model_class("MlpPolicy", "Pendulum-v0", policy_kwargs=policy_kwargs, **kwargs).learn(300)
 
 
 def test_tf_like_rmsprop_optimizer():
     policy_kwargs = dict(optimizer_class=RMSpropTFLike, net_arch=[32])
-    _ = A2C("MlpPolicy", "Pendulum-v0", policy_kwargs=policy_kwargs).learn(1000)
+    _ = A2C("MlpPolicy", "Pendulum-v0", policy_kwargs=policy_kwargs).learn(500)
+
+
+def test_dqn_custom_policy():
+    policy_kwargs = dict(optimizer_class=RMSpropTFLike, net_arch=[32])
+    _ = DQN("MlpPolicy", "CartPole-v1", policy_kwargs=policy_kwargs, learning_starts=100).learn(300)
diff --git a/tests/test_run.py b/tests/test_run.py
index 368381e..5f5f13f 100644
--- a/tests/test_run.py
+++ b/tests/test_run.py
@@ -80,7 +80,7 @@ def test_n_critics(n_critics):
     model = SAC(
         "MlpPolicy", "Pendulum-v0", policy_kwargs=dict(net_arch=[64, 64], n_critics=n_critics), learning_starts=100, verbose=1
     )
-    model.learn(total_timesteps=1000)
+    model.learn(total_timesteps=500)
 
 
 def test_dqn():
@@ -88,10 +88,10 @@ def test_dqn():
         "MlpPolicy",
         "CartPole-v1",
         policy_kwargs=dict(net_arch=[64, 64]),
-        learning_starts=500,
+        learning_starts=100,
         buffer_size=500,
         learning_rate=3e-4,
         verbose=1,
         create_eval_env=True,
     )
-    model.learn(total_timesteps=1000, eval_freq=500)
+    model.learn(total_timesteps=500, eval_freq=250)
diff --git a/tests/test_save_load.py b/tests/test_save_load.py
index dde9d2b..18fba37 100644
--- a/tests/test_save_load.py
+++ b/tests/test_save_load.py
@@ -45,7 +45,7 @@ def test_save_load(tmp_path, model_class):
 
     # create model
     model = model_class("MlpPolicy", env, policy_kwargs=dict(net_arch=[16]), verbose=1)
-    model.learn(total_timesteps=500, eval_freq=250)
+    model.learn(total_timesteps=500)
 
     env.reset()
     observations = np.concatenate([env.step([env.action_space.sample()])[0] for _ in range(10)], axis=0)
@@ -154,7 +154,7 @@ def test_save_load(tmp_path, model_class):
         assert np.allclose(selected_actions, new_selected_actions, 1e-4)
 
         # check if learn still works
-        model.learn(total_timesteps=1000, eval_freq=500)
+        model.learn(total_timesteps=500)
 
         del model
 
@@ -174,20 +174,26 @@ def test_set_env(model_class):
     env2 = DummyVecEnv([lambda: select_env(model_class)])
     env3 = select_env(model_class)
 
+    kwargs = {}
+    if model_class in {DQN, DDPG, SAC, TD3}:
+        kwargs = dict(learning_starts=100)
+    elif model_class in {A2C, PPO}:
+        kwargs = dict(n_steps=100)
+
     # create model
-    model = model_class("MlpPolicy", env, policy_kwargs=dict(net_arch=[16]))
+    model = model_class("MlpPolicy", env, policy_kwargs=dict(net_arch=[16]), **kwargs)
     # learn
-    model.learn(total_timesteps=1000, eval_freq=500)
+    model.learn(total_timesteps=300)
 
     # change env
     model.set_env(env2)
     # learn again
-    model.learn(total_timesteps=1000, eval_freq=500)
+    model.learn(total_timesteps=300)
 
     # change env test wrapping
     model.set_env(env3)
     # learn again
-    model.learn(total_timesteps=1000, eval_freq=500)
+    model.learn(total_timesteps=300)
 
 
 @pytest.mark.parametrize("model_class", MODEL_LIST)
@@ -309,7 +315,7 @@ def test_save_load_policy(tmp_path, model_class, policy_str):
 
     # create model
     model = model_class(policy_str, env, policy_kwargs=dict(net_arch=[16]), verbose=1, **kwargs)
-    model.learn(total_timesteps=500, eval_freq=250)
+    model.learn(total_timesteps=500)
 
     env.reset()
     observations = np.concatenate([env.step([env.action_space.sample()])[0] for _ in range(10)], axis=0)
diff --git a/tests/test_sde.py b/tests/test_sde.py
index d26e06c..3b010d3 100644
--- a/tests/test_sde.py
+++ b/tests/test_sde.py
@@ -68,3 +68,6 @@ def test_state_dependent_offpolicy_noise(model_class, sde_net_arch, use_expln):
         policy_kwargs=dict(log_std_init=-2, sde_net_arch=sde_net_arch, use_expln=use_expln),
     )
     model.learn(total_timesteps=int(500), eval_freq=250)
+    model.policy.reset_noise()
+    if model_class == SAC:
+        model.policy.actor.get_std()
diff --git a/tests/test_utils.py b/tests/test_utils.py
index 4e1899f..9450651 100644
--- a/tests/test_utils.py
+++ b/tests/test_utils.py
@@ -12,7 +12,7 @@ from stable_baselines3.common.cmd_util import make_atari_env, make_vec_env
 from stable_baselines3.common.evaluation import evaluate_policy
 from stable_baselines3.common.monitor import Monitor
 from stable_baselines3.common.noise import ActionNoise, OrnsteinUhlenbeckActionNoise, VectorizedActionNoise
-from stable_baselines3.common.utils import polyak_update
+from stable_baselines3.common.utils import polyak_update, zip_strict
 from stable_baselines3.common.vec_env import DummyVecEnv, SubprocVecEnv
 
 
@@ -167,3 +167,21 @@ def test_polyak():
 
     assert th.allclose(param1, target1)
     assert th.allclose(param2, target2)
+
+
+def test_zip_strict():
+    # Iterables with different lengths
+    list_a = [0, 1]
+    list_b = [1, 2, 3]
+    # zip does not raise any error
+    for _, _ in zip(list_a, list_b):
+        pass
+
+    # zip_strict does raise an error
+    with pytest.raises(ValueError):
+        for _, _ in zip_strict(list_a, list_b):
+            pass
+
+    # same length, should not raise an error
+    for _, _ in zip_strict(list_a, list_b[: len(list_a)]):
+        pass