diff --git a/acme/acme/jose/jwk.py b/acme/acme/jose/jwk.py
index 7a976f189..2b8fa0a34 100644
--- a/acme/acme/jose/jwk.py
+++ b/acme/acme/jose/jwk.py
@@ -1,10 +1,12 @@
 """JSON Web Key."""
 import abc
 import binascii
+import json
 import logging
 
 import cryptography.exceptions
 from cryptography.hazmat.backends import default_backend
+from cryptography.hazmat.primitives import hashes
 from cryptography.hazmat.primitives import serialization
 from cryptography.hazmat.primitives.asymmetric import ec
 from cryptography.hazmat.primitives.asymmetric import rsa
@@ -27,6 +29,32 @@ class JWK(json_util.TypedJSONObjectWithFields):
     cryptography_key_types = ()
     """Subclasses should override."""
 
+    required = NotImplemented
+    """Required members of public key's representation as defined by JWK/JWA."""
+
+    _thumbprint_json_dumps_params = {
+        # "no whitespace or line breaks before or after any syntactic
+        # elements"
+        'indent': 0,
+        'separators': (',', ':'),
+        # "members ordered lexicographically by the Unicode [UNICODE]
+        # code points of the member names"
+        'sort_keys': True,
+    }
+
+    def thumbprint(self, hash_function=hashes.SHA256):
+        """Compute JWK Thumbprint.
+
+        https://tools.ietf.org/html/rfc7638
+
+        """
+        digest = hashes.Hash(hash_function(), backend=default_backend())
+        digest.update(json.dumps(
+            dict((k, v) for k, v in six.iteritems(self.to_json())
+                 if k in self.required),
+            **self._thumbprint_json_dumps_params).encode())
+        return digest.finalize()
+
     @abc.abstractmethod
     def public_key(self):  # pragma: no cover
         """Generate JWK with public key.
@@ -105,6 +133,7 @@ class JWKES(JWK):  # pragma: no cover
     typ = 'ES'
     cryptography_key_types = (
         ec.EllipticCurvePublicKey, ec.EllipticCurvePrivateKey)
+    required = ('crv', JWK.type_field_name, 'x', 'y')
 
     def fields_to_partial_json(self):
         raise NotImplementedError()
@@ -122,6 +151,7 @@ class JWKOct(JWK):
     """Symmetric JWK."""
     typ = 'oct'
     __slots__ = ('key',)
+    required = ('k', JWK.type_field_name)
 
     def fields_to_partial_json(self):
         # TODO: An "alg" member SHOULD also be present to identify the
@@ -150,6 +180,7 @@ class JWKRSA(JWK):
     typ = 'RSA'
     cryptography_key_types = (rsa.RSAPublicKey, rsa.RSAPrivateKey)
     __slots__ = ('key',)
+    required = ('e', JWK.type_field_name, 'n')
 
     def __init__(self, *args, **kwargs):
         if 'key' in kwargs and not isinstance(
diff --git a/acme/acme/jose/jwk_test.py b/acme/acme/jose/jwk_test.py
index 5462af6b0..d8a7410e8 100644
--- a/acme/acme/jose/jwk_test.py
+++ b/acme/acme/jose/jwk_test.py
@@ -25,9 +25,24 @@ class JWKTest(unittest.TestCase):
         self.assertRaises(errors.Error, JWKRSA.load, DSA_PEM)
 
 
-class JWKOctTest(unittest.TestCase):
+class JWKTestBaseMixin(object):
+    """Mixin test for JWK subclass tests."""
+
+    thumbprint = NotImplemented
+
+    def test_thumbprint_private(self):
+        self.assertEqual(self.thumbprint, self.jwk.thumbprint())
+
+    def test_thumbprint_public(self):
+        self.assertEqual(self.thumbprint, self.jwk.public_key().thumbprint())
+
+
+class JWKOctTest(unittest.TestCase, JWKTestBaseMixin):
     """Tests for acme.jose.jwk.JWKOct."""
 
+    thumbprint = (b"=,\xdd;I\x1a+i\x02x\x8a\x12?06IM\xc2\x80"
+                  b"\xe4\xc3\x1a\xfc\x89\xf3)'\xce\xccm\xfd5")
+
     def setUp(self):
         from acme.jose.jwk import JWKOct
         self.jwk = JWKOct(key=b'foo')
@@ -52,10 +67,13 @@ class JWKOctTest(unittest.TestCase):
         self.assertTrue(self.jwk.public_key() is self.jwk)
 
 
-class JWKRSATest(unittest.TestCase):
+class JWKRSATest(unittest.TestCase, JWKTestBaseMixin):
     """Tests for acme.jose.jwk.JWKRSA."""
     # pylint: disable=too-many-instance-attributes
 
+    thumbprint = (b'\x08\xfa1\x87\x1d\x9b6H/*\x1eW\xc2\xe3\xf6P'
+                  b'\xefs\x0cKB\x87\xcf\x85yO\x045\x0e\x91\x80\x0b')
+
     def setUp(self):
         from acme.jose.jwk import JWKRSA
         self.jwk256 = JWKRSA(key=RSA256_KEY.public_key())
@@ -87,6 +105,7 @@ class JWKRSATest(unittest.TestCase):
             'dq': 'bHh2u7etM8LKKCF2pY2UdQ',
             'qi': 'oi45cEkbVoJjAbnQpFY87Q',
         })
+        self.jwk = self.private
 
     def test_init_auto_comparable(self):
         self.assertTrue(isinstance(