diff --git a/src/montgomery.rs b/src/montgomery.rs
index a89de22..14e9286 100644
--- a/src/montgomery.rs
+++ b/src/montgomery.rs
@@ -17,7 +17,7 @@
 //! Montgomery arithmetic works not on the curve itself, but on the
 //! \\(u\\)-line, which discards sign information and unifies the curve
 //! and its quadratic twist.  See [_Montgomery curves and their
-//! arithmetic_][costello-smith] by Costello and Smith for more details.  
+//! arithmetic_][costello-smith] by Costello and Smith for more details.
 //!
 //! The `MontgomeryPoint` struct contains the affine \\(u\\)-coordinate
 //! \\(u\_0(P)\\) of a point \\(P\\) on either the curve or the twist.
@@ -61,6 +61,8 @@ use subtle::Choice;
 use subtle::ConditionallySelectable;
 use subtle::ConstantTimeEq;
 
+use zeroize::Zeroize;
+
 /// Holds the \\(u\\)-coordinate of a point on the Montgomery form of
 /// Curve25519 or its twist.
 #[derive(Copy, Clone, Debug)]
@@ -91,6 +93,12 @@ impl PartialEq for MontgomeryPoint {
 
 impl Eq for MontgomeryPoint {}
 
+impl Zeroize for MontgomeryPoint {
+    fn zeroize(&mut self) {
+        self.0.zeroize();
+    }
+}
+
 impl MontgomeryPoint {
     /// View this `MontgomeryPoint` as an array of bytes.
     pub fn as_bytes<'a>(&'a self) -> &'a [u8; 32] {
@@ -357,7 +365,7 @@ mod test {
     #[test]
     fn montgomery_to_edwards_rejects_twist() {
         let one = FieldElement::one();
-        
+
         // u = 2 corresponds to a point on the twist.
         let two = MontgomeryPoint((&one+&one).to_bytes());
 
diff --git a/src/scalar.rs b/src/scalar.rs
index ab2a6d6..2ecbb3d 100644
--- a/src/scalar.rs
+++ b/src/scalar.rs
@@ -160,6 +160,8 @@ use subtle::Choice;
 use subtle::ConditionallySelectable;
 use subtle::ConstantTimeEq;
 
+use zeroize::Zeroize;
+
 use backend;
 use constants;
 
@@ -522,6 +524,12 @@ impl From<u128> for Scalar {
     }
 }
 
+impl Zeroize for Scalar {
+    fn zeroize(&mut self) {
+        self.bytes.zeroize();
+    }
+}
+
 impl Scalar {
     /// Return a `Scalar` chosen uniformly at random using a user-provided RNG.
     ///