diff --git a/bitcoin/src/blockdata/script.rs b/bitcoin/src/blockdata/script.rs
index 2768b303..adebb5f0 100644
--- a/bitcoin/src/blockdata/script.rs
+++ b/bitcoin/src/blockdata/script.rs
@@ -400,6 +400,30 @@ impl Script {
       Builder::new()
     }
 
+    /// Returns the public key if this script is P2PK with a **valid** public key.
+    ///
+    /// This may return `None` even when [`is_p2pk()`](Self::is_p2pk) returns true.
+    /// This happens when the public key is invalid (e.g. the point not being on the curve).
+    /// It also implies the script is unspendable.
+    pub fn p2pk_public_key(&self) -> Option<PublicKey> {
+        PublicKey::from_slice(self.p2pk_pubkey_bytes()?).ok()
+    }
+
+    /// Returns the bytes of the (possibly invalid) public key if this script is P2PK.
+    fn p2pk_pubkey_bytes(&self) -> Option<&[u8]> {
+        match self.len() {
+            67 if self.0[0] == OP_PUSHBYTES_65.to_u8()
+                    && self.0[66] == OP_CHECKSIG.to_u8() =>  {
+                Some(&self.0[1..66])
+            }
+            35 if self.0[0] == OP_PUSHBYTES_33.to_u8()
+                    && self.0[34] == OP_CHECKSIG.to_u8() =>  {
+                Some(&self.0[1..34])
+            }
+            _ => None
+        }
+    }
+
     /// Generates P2PK-type of scriptPubkey.
     pub fn new_p2pk(pubkey: &PublicKey) -> Script {
         Builder::new()
@@ -557,19 +581,12 @@ impl Script {
     }
 
     /// Checks whether a script pubkey is a P2PK output.
+    ///
+    /// You can obtain the public key, if its valid,
+    /// by calling [`p2pk_public_key()`](Self::p2pk_public_key)
     #[inline]
     pub fn is_p2pk(&self) -> bool {
-        match self.len() {
-            67 => {
-                self.0[0] == OP_PUSHBYTES_65.to_u8()
-                    && self.0[66] == OP_CHECKSIG.to_u8()
-            }
-            35 => {
-                self.0[0] == OP_PUSHBYTES_33.to_u8()
-                    && self.0[34] == OP_CHECKSIG.to_u8()
-            }
-            _ => false
-        }
+        self.p2pk_pubkey_bytes().is_some()
     }
 
     /// Checks whether a script pubkey is a Segregated Witness (segwit) program.
@@ -1222,6 +1239,141 @@ mod test {
         script = script.push_opcode(OP_CHECKSIG); comp.push(0xACu8); assert_eq!(&script[..], &comp[..]);
     }
 
+    #[test]
+    fn p2pk_pubkey_bytes_valid_key_and_valid_script_returns_expected_key() {
+        let key_str = "0411db93e1dcdb8a016b49840f8c53bc1eb68a382e97b1482ecad7b148a6909a5cb2e0eaddfb84ccf9744464f82e160bfa9b8b64f9d4c03f999b8643f656b412a3";
+        let key = PublicKey::from_str(key_str).unwrap();
+        let p2pk = Script::builder().push_key(&key).push_opcode(OP_CHECKSIG).into_script();
+        let actual = p2pk.p2pk_pubkey_bytes().unwrap();
+        assert_eq!(actual.to_vec(), key.to_bytes());
+    }
+
+    #[test]
+    fn p2pk_pubkey_bytes_no_checksig_returns_none() {
+        let key_str = "0411db93e1dcdb8a016b49840f8c53bc1eb68a382e97b1482ecad7b148a6909a5cb2e0eaddfb84ccf9744464f82e160bfa9b8b64f9d4c03f999b8643f656b412a3";
+        let key = PublicKey::from_str(key_str).unwrap();
+        let no_checksig = Script::builder().push_key(&key).into_script();
+        assert_eq!(no_checksig.p2pk_pubkey_bytes(), None);
+    }
+
+    #[test]
+    fn p2pk_pubkey_bytes_emptry_script_returns_none() {
+        let empty_script = Script::builder().into_script();
+        assert!(empty_script.p2pk_pubkey_bytes().is_none());
+    }
+
+    #[test]
+    fn p2pk_pubkey_bytes_no_key_returns_none() {
+        // scripts with no key should return None
+        let no_push_bytes = Script::builder().push_opcode(OP_CHECKSIG).into_script();
+        assert!(no_push_bytes.p2pk_pubkey_bytes().is_none());
+    }
+
+    #[test]
+    fn p2pk_pubkey_bytes_different_op_code_returns_none() {
+        let key_str = "0411db93e1dcdb8a016b49840f8c53bc1eb68a382e97b1482ecad7b148a6909a5cb2e0eaddfb84ccf9744464f82e160bfa9b8b64f9d4c03f999b8643f656b412a3";
+        let key = PublicKey::from_str(key_str).unwrap();
+        let different_op_code = Script::builder().push_key(&key).push_opcode(OP_NOP).into_script();
+        assert!(different_op_code.p2pk_pubkey_bytes().is_none());
+    }
+
+    #[test]
+    fn p2pk_pubkey_bytes_incorrect_key_size_returns_none() {
+        // 63 byte key
+        let malformed_key = "21032e58afe51f9ed8ad3cc7897f634d881fdbe49816429ded8156bebd2ffd1";
+        let invalid_p2pk_script = Script::builder()
+            .push_slice(malformed_key.as_bytes())
+            .push_opcode(OP_CHECKSIG)
+            .into_script();
+        assert!(invalid_p2pk_script.p2pk_pubkey_bytes().is_none());
+    }
+
+    #[test]
+    fn p2pk_pubkey_bytes_invalid_key_returns_some() {
+        let malformed_key = "21032e58afe51f9ed8ad3cc7897f634d881fdbe49816429ded8156bebd2ffd1ux";
+        let invalid_key_script = Script::builder()
+            .push_slice(malformed_key.as_bytes())
+            .push_opcode(OP_CHECKSIG)
+            .into_script();
+        assert!(invalid_key_script.p2pk_pubkey_bytes().is_some());
+    }
+
+    #[test]
+    fn p2pk_pubkey_bytes_compressed_key_returns_expected_key() {
+        let compressed_key_str = "0311db93e1dcdb8a016b49840f8c53bc1eb68a382e97b1482ecad7b148a6909a5c";
+        let key = PublicKey::from_str(compressed_key_str).unwrap();
+        let p2pk = Script::builder().push_key(&key).push_opcode(OP_CHECKSIG).into_script();
+        let actual = p2pk.p2pk_pubkey_bytes().unwrap();
+        assert_eq!(actual.to_vec(), key.to_bytes());
+    }
+
+    #[test]
+    fn p2pk_public_key_valid_key_and_valid_script_returns_expected_key() {
+        let key_str = "0411db93e1dcdb8a016b49840f8c53bc1eb68a382e97b1482ecad7b148a6909a5cb2e0eaddfb84ccf9744464f82e160bfa9b8b64f9d4c03f999b8643f656b412a3";
+        let key = PublicKey::from_str(key_str).unwrap();
+        let p2pk = Script::builder().push_key(&key).push_opcode(OP_CHECKSIG).into_script();
+        let actual = p2pk.p2pk_public_key().unwrap();
+        assert_eq!(actual, key);
+    }
+
+    #[test]
+    fn p2pk_public_key_no_checksig_returns_none() {
+        let key_str = "0411db93e1dcdb8a016b49840f8c53bc1eb68a382e97b1482ecad7b148a6909a5cb2e0eaddfb84ccf9744464f82e160bfa9b8b64f9d4c03f999b8643f656b412a3";
+        let key = PublicKey::from_str(key_str).unwrap();
+        let no_checksig = Script::builder().push_key(&key).into_script();
+        assert_eq!(no_checksig.p2pk_public_key(), None);
+    }
+
+    #[test]
+    fn p2pk_public_key_empty_script_returns_none() {
+        let empty_script = Script::builder().into_script();
+        assert!(empty_script.p2pk_public_key().is_none());
+    }
+
+    #[test]
+    fn p2pk_public_key_no_key_returns_none() {
+        let no_push_bytes = Script::builder().push_opcode(OP_CHECKSIG).into_script();
+        assert!(no_push_bytes.p2pk_public_key().is_none());
+    }
+
+    #[test]
+    fn p2pk_public_key_different_op_code_returns_none() {
+        let key_str = "0411db93e1dcdb8a016b49840f8c53bc1eb68a382e97b1482ecad7b148a6909a5cb2e0eaddfb84ccf9744464f82e160bfa9b8b64f9d4c03f999b8643f656b412a3";
+        let key = PublicKey::from_str(key_str).unwrap();
+        let different_op_code = Script::builder().push_key(&key).push_opcode(OP_NOP).into_script();
+        assert!(different_op_code.p2pk_public_key().is_none());
+    }
+
+    #[test]
+    fn p2pk_public_key_incorrect_size_returns_none() {
+        let malformed_key = "21032e58afe51f9ed8ad3cc7897f634d881fdbe49816429ded8156bebd2ffd1";
+        let malformed_key_script = Script::builder()
+            .push_slice(malformed_key.as_bytes())
+            .push_opcode(OP_CHECKSIG)
+            .into_script();
+        assert!(malformed_key_script.p2pk_public_key().is_none());
+
+    }
+
+    #[test]
+    fn p2pk_public_key_invalid_key_returns_none() {
+        let malformed_key = "21032e58afe51f9ed8ad3cc7897f634d881fdbe49816429ded8156bebd2ffd1ux";
+        let invalid_key_script = Script::builder()
+            .push_slice(malformed_key.as_bytes())
+            .push_opcode(OP_CHECKSIG)
+            .into_script();
+        assert!(invalid_key_script.p2pk_public_key().is_none());
+    }
+
+    #[test]
+    fn p2pk_public_key_compressed_key_returns_some() {
+        let compressed_key_str = "0311db93e1dcdb8a016b49840f8c53bc1eb68a382e97b1482ecad7b148a6909a5c";
+        let key = PublicKey::from_str(compressed_key_str).unwrap();
+        let p2pk = Script::builder().push_key(&key).push_opcode(OP_CHECKSIG).into_script();
+        let actual = p2pk.p2pk_public_key().unwrap();
+        assert_eq!(actual, key);
+    }
+
     #[test]
     fn script_x_only_key() {
         // Notice the "20" which prepends the keystr. That 20 is hexidecimal for "32". The Builder automatically adds the 32 opcode