diff --git a/pgpy/_curves.py b/pgpy/_curves.py
index a967407..ce6a9f0 100644
--- a/pgpy/_curves.py
+++ b/pgpy/_curves.py
@@ -26,10 +26,10 @@ def _openssl_get_supported_curves():
 
     # store the result so we don't have to do all of this every time
     curves = { b.ffi.string(b.lib.OBJ_nid2sn(c.nid)).decode('utf-8') for c in cs }
-    # X25519 is always present in cryptography>=2.5
-    # The python cryptography lib provides a different interface for this curve,
-    # so it is handled differently in the ECDHPriv/ECDHPub classes
-    curves |= {'X25519'}
+    # Ed25519 and X25519 are always present in cryptography>=2.6
+    # The python cryptography lib provides a different interface for these curves,
+    # so they are handled differently in the ECDHPriv/Pub and EdDSAPriv/Pub classes
+    curves |= {'X25519', 'ed25519'}
     _openssl_get_supported_curves._curves = curves
     return curves
 
diff --git a/pgpy/constants.py b/pgpy/constants.py
index ce2e623..68a7627 100644
--- a/pgpy/constants.py
+++ b/pgpy/constants.py
@@ -59,9 +59,6 @@ class EllipticCurveOID(Enum):
     #: DJB's fast elliptic curve
     Curve25519 = ('1.3.6.1.4.1.3029.1.5.1', X25519)
     #: Twisted Edwards variant of Curve25519
-    #:
-    #: .. warning::
-    #:     This curve is not currently usable by PGPy
     Ed25519 = ('1.3.6.1.4.1.11591.15.1', Ed25519)
     #: NIST P-256, also known as SECG curve secp256r1
     NIST_P256 = ('1.2.840.10045.3.1.7', ec.SECP256R1)
@@ -268,7 +265,8 @@ class PubKeyAlgorithm(IntEnum):
         return self in {PubKeyAlgorithm.RSAEncryptOrSign,
                         PubKeyAlgorithm.DSA,
                         PubKeyAlgorithm.ECDSA,
-                        PubKeyAlgorithm.ECDH}
+                        PubKeyAlgorithm.ECDH,
+                        PubKeyAlgorithm.EdDSA}
 
     @property
     def can_encrypt(self):  # pragma: no cover
@@ -276,7 +274,7 @@ class PubKeyAlgorithm(IntEnum):
 
     @property
     def can_sign(self):
-        return self in {PubKeyAlgorithm.RSAEncryptOrSign, PubKeyAlgorithm.DSA, PubKeyAlgorithm.ECDSA}
+        return self in {PubKeyAlgorithm.RSAEncryptOrSign, PubKeyAlgorithm.DSA, PubKeyAlgorithm.ECDSA, PubKeyAlgorithm.EdDSA}
 
     @property
     def deprecated(self):
diff --git a/pgpy/packet/fields.py b/pgpy/packet/fields.py
index 72ae560..846d106 100644
--- a/pgpy/packet/fields.py
+++ b/pgpy/packet/fields.py
@@ -27,6 +27,7 @@ from cryptography.hazmat.primitives import serialization
 from cryptography.hazmat.primitives.asymmetric import rsa
 from cryptography.hazmat.primitives.asymmetric import dsa
 from cryptography.hazmat.primitives.asymmetric import ec
+from cryptography.hazmat.primitives.asymmetric import ed25519
 from cryptography.hazmat.primitives.asymmetric import padding
 from cryptography.hazmat.primitives.asymmetric import x25519
 
@@ -71,6 +72,7 @@ __all__ = ['SubPackets',
            'RSASignature',
            'DSASignature',
            'ECDSASignature',
+           'EdDSASignature',
            'PubKey',
            'OpaquePubKey',
            'RSAPub',
@@ -78,6 +80,7 @@ __all__ = ['SubPackets',
            'ElGPub',
            'ECPoint',
            'ECDSAPub',
+           'EdDSAPub',
            'ECDHPub',
            'String2Key',
            'ECKDF',
@@ -87,6 +90,7 @@ __all__ = ['SubPackets',
            'DSAPriv',
            'ElGPriv',
            'ECDSAPriv',
+           'EdDSAPriv',
            'ECDHPriv',
            'CipherText',
            'RSACipherText',
@@ -351,6 +355,21 @@ class ECDSASignature(DSASignature):
         self.s = MPI(seq[1])
 
 
+class EdDSASignature(DSASignature):
+    def from_signer(self, sig):
+        lsig = len(sig)
+        if lsig % 2 != 0:
+            raise PGPError("malformed EdDSA signature")
+        split = lsig // 2
+        self.r = MPI(self.bytes_to_int(sig[:split]))
+        self.s = MPI(self.bytes_to_int(sig[split:]))
+
+    def __sig__(self):
+        # TODO: change this length when EdDSA can be used with another curve (Ed448)
+        l = (EllipticCurveOID.Ed25519.key_size + 7) // 8
+        return self.int_to_bytes(self.r, l) + self.int_to_bytes(self.s, l)
+
+
 class PubKey(MPIs):
     __pubfields__ = ()
 
@@ -571,6 +590,57 @@ class ECDSAPub(PubKey):
             raise PGPIncompatibleECPointFormat("Only Standard format is valid for ECDSA")
 
 
+class EdDSAPub(PubKey):
+    __pubfields__ = ('p', )
+
+    def __init__(self):
+        super(EdDSAPub, self).__init__()
+        self.oid = None
+
+    def __len__(self):
+        return len(self.p) + len(encoder.encode(self.oid.value)) - 1
+
+    def __bytearray__(self):
+        _b = bytearray()
+        _b += encoder.encode(self.oid.value)[1:]
+        _b += self.p.to_mpibytes()
+        return _b
+
+    def __pubkey__(self):
+        return ed25519.Ed25519PublicKey.from_public_bytes(self.p.x)
+
+    def __copy__(self):
+        pkt = super(EdDSAPub, self).__copy__()
+        pkt.oid = self.oid
+        return pkt
+
+    def verify(self, subj, sigbytes, hash_alg):
+        # GnuPG requires a pre-hashing with EdDSA
+        # https://tools.ietf.org/html/draft-ietf-openpgp-rfc4880bis-06#section-14.8
+        digest = hashes.Hash(hash_alg, backend=default_backend())
+        digest.update(subj)
+        subj = digest.finalize()
+        try:
+            self.__pubkey__().verify(sigbytes, subj)
+        except InvalidSignature:
+            return False
+        return True
+
+    def parse(self, packet):
+        oidlen = packet[0]
+        del packet[0]
+        _oid = bytearray(b'\x06')
+        _oid.append(oidlen)
+        _oid += bytearray(packet[:oidlen])
+        oid, _  = decoder.decode(bytes(_oid))
+        self.oid = EllipticCurveOID(oid)
+        del packet[:oidlen]
+
+        self.p = ECPoint(packet)
+        if self.p.format != ECPointFormat.Native:
+            raise PGPIncompatibleECPointFormat("Only Native format is valid for EdDSA")
+
+
 class ECDHPub(PubKey):
     __pubfields__ = ('p',)
 
@@ -1434,6 +1504,63 @@ class ECDSAPriv(PrivKey, ECDSAPub):
         return self.__privkey__().sign(sigdata, ec.ECDSA(hash_alg))
 
 
+class EdDSAPriv(PrivKey, EdDSAPub):
+    __privfields__ = ('s', )
+
+    def __privkey__(self):
+        s = self.int_to_bytes(self.s, (self.oid.key_size + 7) // 8)
+        return ed25519.Ed25519PrivateKey.from_private_bytes(s)
+
+    def _compute_chksum(self):
+        chs = sum(bytearray(self.s.to_mpibytes())) % 65536
+        self.chksum = bytearray(self.int_to_bytes(chs, 2))
+
+    def _generate(self, oid):
+        if any(c != 0 for c in self):  # pragma: no cover
+            raise PGPError("Key is already populated!")
+
+        self.oid = EllipticCurveOID(oid)
+
+        if self.oid != EllipticCurveOID.Ed25519:
+            raise ValueError("EdDSA only supported with {}".format(EllipticCurveOID.Ed25519))
+
+        pk = ed25519.Ed25519PrivateKey.generate()
+        x = pk.public_key().public_bytes(encoding=serialization.Encoding.Raw, format=serialization.PublicFormat.Raw)
+        self.p = ECPoint.from_values(self.oid.key_size, ECPointFormat.Native, x)
+        self.s = MPI(self.bytes_to_int(pk.private_bytes(
+            encoding=serialization.Encoding.Raw,
+            format=serialization.PrivateFormat.Raw,
+            encryption_algorithm=serialization.NoEncryption()
+        )))
+        self._compute_chksum()
+
+    def parse(self, packet):
+        super(EdDSAPriv, self).parse(packet)
+        self.s2k.parse(packet)
+
+        if not self.s2k:
+            self.s = MPI(packet)
+            if self.s2k.usage == 0:
+                self.chksum = packet[:2]
+                del packet[:2]
+        else:
+            ##TODO: this needs to be bounded to the length of the encrypted key material
+            self.encbytes = packet
+
+    def decrypt_keyblob(self, passphrase):
+        kb = super(EdDSAPriv, self).decrypt_keyblob(passphrase)
+        del passphrase
+        self.s = MPI(kb)
+
+    def sign(self, sigdata, hash_alg):
+        # GnuPG requires a pre-hashing with EdDSA
+        # https://tools.ietf.org/html/draft-ietf-openpgp-rfc4880bis-06#section-14.8
+        digest = hashes.Hash(hash_alg, backend=default_backend())
+        digest.update(sigdata)
+        sigdata = digest.finalize()
+        return self.__privkey__().sign(sigdata)
+
+
 class ECDHPriv(ECDSAPriv, ECDHPub):
     def __bytearray__(self):
         _b = ECDHPub.__bytearray__(self)
diff --git a/pgpy/packet/packets.py b/pgpy/packet/packets.py
index 5060b70..648725a 100644
--- a/pgpy/packet/packets.py
+++ b/pgpy/packet/packets.py
@@ -18,6 +18,7 @@ from cryptography.hazmat.primitives.asymmetric import padding
 from .fields import DSAPriv, DSAPub, DSASignature
 from .fields import ECDSAPub, ECDSAPriv, ECDSASignature
 from .fields import ECDHPub, ECDHPriv, ECDHCipherText
+from .fields import EdDSAPub, EdDSAPriv, EdDSASignature
 from .fields import ElGCipherText, ElGPriv, ElGPub
 from .fields import OpaquePubKey
 from .fields import OpaquePrivKey
@@ -364,7 +365,7 @@ class SignatureV4(Signature):
                 PubKeyAlgorithm.RSASign: RSASignature,
                 PubKeyAlgorithm.DSA: DSASignature,
                 PubKeyAlgorithm.ECDSA: ECDSASignature,
-                PubKeyAlgorithm.EdDSA: ECDSASignature,}
+                PubKeyAlgorithm.EdDSA: EdDSASignature,}
 
         self.signature = sigs.get(self.pubalg, OpaqueSignature)()
 
@@ -762,6 +763,7 @@ class PubKeyV4(PubKey):
             (True, PubKeyAlgorithm.FormerlyElGamalEncryptOrSign): ElGPub,
             (True, PubKeyAlgorithm.ECDSA): ECDSAPub,
             (True, PubKeyAlgorithm.ECDH): ECDHPub,
+            (True, PubKeyAlgorithm.EdDSA): EdDSAPub,
             # False means private
             (False, PubKeyAlgorithm.RSAEncryptOrSign): RSAPriv,
             (False, PubKeyAlgorithm.RSAEncrypt): RSAPriv,
@@ -771,6 +773,7 @@ class PubKeyV4(PubKey):
             (False, PubKeyAlgorithm.FormerlyElGamalEncryptOrSign): ElGPriv,
             (False, PubKeyAlgorithm.ECDSA): ECDSAPriv,
             (False, PubKeyAlgorithm.ECDH): ECDHPriv,
+            (False, PubKeyAlgorithm.EdDSA): EdDSAPriv,
         }
 
         k = (self.public, self.pkalg)
@@ -878,7 +881,7 @@ class PrivKeyV4(PrivKey, PubKeyV4):
         for pm in self.keymaterial.__pubfields__:
             setattr(pk.keymaterial, pm, copy.copy(getattr(self.keymaterial, pm)))
 
-        if self.pkalg == PubKeyAlgorithm.ECDSA:
+        if self.pkalg in [PubKeyAlgorithm.ECDSA, PubKeyAlgorithm.EdDSA]:
             pk.keymaterial.oid = self.keymaterial.oid
 
         if self.pkalg == PubKeyAlgorithm.ECDH:
diff --git a/pgpy/pgp.py b/pgpy/pgp.py
index bd5b5a8..265fd92 100644
--- a/pgpy/pgp.py
+++ b/pgpy/pgp.py
@@ -1324,7 +1324,7 @@ class PGPKey(Armorable, ParentRef, PGPObject):
         """*new in 0.4.1*
         The size pertaining to this key. ``int`` for non-EC key algorithms; :py:obj:`constants.EllipticCurveOID` for EC keys.
         """
-        if self.key_algorithm in {PubKeyAlgorithm.ECDSA, PubKeyAlgorithm.ECDH}:
+        if self.key_algorithm in {PubKeyAlgorithm.ECDSA, PubKeyAlgorithm.ECDH, PubKeyAlgorithm.EdDSA}:
             return self._key.keymaterial.oid
         # check if keymaterial is not an Opaque class containing a bytearray
         param = next(iter(self._key.keymaterial))
diff --git a/requirements.txt b/requirements.txt
index 30e2600..c24caca 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,4 +1,4 @@
-cryptography>=2.5
+cryptography>=2.6
 enum34
 pyasn1
 six>=1.9.0
diff --git a/setup.py b/setup.py
index 1a03f85..93b5868 100644
--- a/setup.py
+++ b/setup.py
@@ -22,7 +22,7 @@ with open('README.rst') as readme:
 
 
 _requires = [
-    'cryptography>=2.5',
+    'cryptography>=2.6',
     'pyasn1',
     'six>=1.9.0',
 ]
diff --git a/tests/test_05_actions.py b/tests/test_05_actions.py
index 4505a9b..bb52bb3 100644
--- a/tests/test_05_actions.py
+++ b/tests/test_05_actions.py
@@ -194,7 +194,8 @@ def userphoto():
 # TODO: add more keyspecs
 pkeyspecs = ((PubKeyAlgorithm.RSAEncryptOrSign, 1024),
              (PubKeyAlgorithm.DSA, 1024),
-             (PubKeyAlgorithm.ECDSA, EllipticCurveOID.NIST_P256),)
+             (PubKeyAlgorithm.ECDSA, EllipticCurveOID.NIST_P256),
+             (PubKeyAlgorithm.EdDSA, EllipticCurveOID.Ed25519),)
 
 
 skeyspecs = ((PubKeyAlgorithm.RSAEncryptOrSign, 1024),
@@ -202,6 +203,7 @@ skeyspecs = ((PubKeyAlgorithm.RSAEncryptOrSign, 1024),
              (PubKeyAlgorithm.ElGamal, 1024),
              (PubKeyAlgorithm.ECDSA, EllipticCurveOID.SECP256K1),
              (PubKeyAlgorithm.ECDH, EllipticCurveOID.Brainpool_P256),
+             (PubKeyAlgorithm.EdDSA, EllipticCurveOID.Ed25519),
              (PubKeyAlgorithm.ECDH, EllipticCurveOID.Curve25519),)
 
 
@@ -889,3 +891,16 @@ class TestPGPKey_Actions(object):
         assert emsg.is_signed
         assert emsg.is_encrypted
         assert isinstance(next(iter(emsg)), PGPSignature)
+
+    def test_gpg_ed25519_verify(self, abe):
+        # test verification of Ed25519 signature generated by GnuPG
+        pubkey, _ = PGPKey.from_file('tests/testdata/keys/ecc.2.pub.asc')
+        sig = PGPSignature.from_file('tests/testdata/signatures/ecc.2.sig.asc')
+        assert pubkey.verify("This is a test signature message", sig)
+
+    def test_gpg_cv25519_decrypt(self, abe):
+        # test the decryption of X25519 generated by GnuPG
+        seckey, _ = PGPKey.from_file('tests/testdata/keys/ecc.2.sec.asc')
+        emsg = PGPMessage.from_file('tests/testdata/messages/message.ecdh.cv25519.asc')
+        dmsg = seckey.decrypt(emsg)
+        assert bytes(dmsg.message) == b"This message will have been encrypted"
diff --git a/tests/test_99_regressions.py b/tests/test_99_regressions.py
index 59125e0..3071ad8 100644
--- a/tests/test_99_regressions.py
+++ b/tests/test_99_regressions.py
@@ -204,6 +204,8 @@ seckm = [
     _seckeys['RSAEncryptOrSign']._key,                   # RSA private key packet
     _seckeys['ECDSA']._key,                              # ECDSA private key packet
     _seckeys['ECDSA'].subkeys['A81B93FD16BD9806']._key,  # ECDH private key packet
+    _seckeys['EdDSA']._key,                              # EdDSA private key packet
+    _seckeys['EdDSA'].subkeys['AFC377493D8E897D']._key,  # Curve25519 private key packet
     _mixed1._key,                                        # RSA private key packet
     _mixed1.subkeys['B345506C90A428C5']._key,            # ECDH Curve25519 private key packet
 ]
diff --git a/tests/testdata/keys/ecc.2.pub.asc b/tests/testdata/keys/ecc.2.pub.asc
new file mode 100644
index 0000000..aa00473
--- /dev/null
+++ b/tests/testdata/keys/ecc.2.pub.asc
@@ -0,0 +1,14 @@
+-----BEGIN PGP PUBLIC KEY BLOCK-----
+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+=OgJa
+-----END PGP PUBLIC KEY BLOCK-----
diff --git a/tests/testdata/keys/ecc.2.sec.asc b/tests/testdata/keys/ecc.2.sec.asc
new file mode 100644
index 0000000..62eae3b
--- /dev/null
+++ b/tests/testdata/keys/ecc.2.sec.asc
@@ -0,0 +1,15 @@
+-----BEGIN PGP PRIVATE KEY BLOCK-----
+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+=siss
+-----END PGP PRIVATE KEY BLOCK-----
diff --git a/tests/testdata/messages/message.ecdh.cv25519.asc b/tests/testdata/messages/message.ecdh.cv25519.asc
new file mode 100644
index 0000000..039dc6f
--- /dev/null
+++ b/tests/testdata/messages/message.ecdh.cv25519.asc
@@ -0,0 +1,9 @@
+-----BEGIN PGP MESSAGE-----
+
+hF4Dr8N3ST2OiX0SAQdAjBvn1lUIHo/MoXG0iizRRIs3zmU+q/H2nk8iU+ksgXgw
+YxiH/gRKL/QH0ozo4mKQBy9bzY0jt0V1ldVhP4C5nh3YKLLpasHyhn/Hd+QgmKBS
+0mABoKVxFzehABvQa1+QRkiegFGTjouEjRik/MCmfyT+kusqnj1dOgY/sAzFJoEy
+7duCJ4YsXRrh1VAa+eJsdm7h9eeXRUvbn7QPA6VLnhYeRsQU8cCscHj+jvklSdzs
+rR0=
+=PzYF
+-----END PGP MESSAGE-----
diff --git a/tests/testdata/signatures/ecc.2.sig.asc b/tests/testdata/signatures/ecc.2.sig.asc
new file mode 100644
index 0000000..1710692
--- /dev/null
+++ b/tests/testdata/signatures/ecc.2.sig.asc
@@ -0,0 +1,7 @@
+-----BEGIN PGP SIGNATURE-----
+
+iHUEABYIAB0WIQR/D5etU51R90sBi9EGLmrFIF2HHgUCXMILLAAKCRAGLmrFIF2H
+HmI3AQC70mikthv4+gadsD7E8STKEPKtrkGaWTLQ6Q+U9Rc7sAD/dkUfbeRB7UvU
+COB64/0yz5kupCYt5+an6jH85yWNTgc=
+=RSff
+-----END PGP SIGNATURE-----
diff --git a/tox.ini b/tox.ini
index 026257d..a68a931 100644
--- a/tox.ini
+++ b/tox.ini
@@ -15,7 +15,7 @@ max-line-length = 160
 [testenv]
 passenv = HOME ARCHFLAGS LDFLAGS CFLAGS INCLUDE LIB LD_LIBRARY_PATH PATH
 deps =
-    cryptography>=2.5
+    cryptography>=2.6
     enum34
     gpg==1.8.0
     pyasn1