diff --git a/src/cryptojwt/jwk/__init__.py b/src/cryptojwt/jwk/__init__.py
index d8fd480a..fd4e9cb1 100644
--- a/src/cryptojwt/jwk/__init__.py
+++ b/src/cryptojwt/jwk/__init__.py
@@ -75,6 +75,9 @@ def __init__(
                     "PS256",
                     "PS384",
                     "PS512",
+                    "EdDSA",
+                    "Ed25519",
+                    "Ed448",
                     "none",
                 ]:
                     raise UnsupportedAlgorithm("Unknown algorithm: {}".format(alg))
@@ -93,6 +96,9 @@ def __init__(
                     "PS256",
                     "PS384",
                     "PS512",
+                    "EdDSA",
+                    "Ed25519",
+                    "Ed448",
                     "none",
                     "RSA1_5",
                     "RSA-OAEP",
diff --git a/src/cryptojwt/jws/eddsa.py b/src/cryptojwt/jws/eddsa.py
index 983d93d2..6a88f8e0 100644
--- a/src/cryptojwt/jws/eddsa.py
+++ b/src/cryptojwt/jws/eddsa.py
@@ -10,6 +10,9 @@
 
 
 class EDDSASigner(Signer):
+    def __init__(self, algorithm=None):
+        self.algorithm = algorithm
+
     def sign(self, msg, key):
         """
         Create a signature over a message as defined in RFC7515 using an
@@ -20,6 +23,17 @@ def sign(self, msg, key):
         :return:
         """
 
+        if self.algorithm:
+            if self.algorithm == "Ed25519" and not isinstance(key, ed25519.Ed25519PrivateKey):
+                raise TypeError("The private key must be an instance of Ed25519PrivateKey")
+            if self.algorithm == "Ed448" and not isinstance(key, ed448.Ed448PrivateKey):
+                raise TypeError("The private key must be an instance of Ed448PrivateKey")
+
+        if not isinstance(key, (ed25519.Ed25519PrivateKey, ed448.Ed448PrivateKey)):
+            raise TypeError(
+                "The private key must be an instance of Ed25519PrivateKey or Ed448PrivateKey"
+            )
+
         if not isinstance(key, (ed25519.Ed25519PrivateKey, ed448.Ed448PrivateKey)):
             raise TypeError(
                 "The private key must be an instance of Ed25519PrivateKey or Ed448PrivateKey"
@@ -37,6 +51,13 @@ def verify(self, msg, sig, key):
         :raises: BadSignature if the signature can't be verified.
         :return: True
         """
+
+        if self.algorithm:
+            if self.algorithm == "Ed25519" and not isinstance(key, ed25519.Ed25519PublicKey):
+                raise TypeError("The public key must be an instance of Ed25519PublicKey")
+            if self.algorithm == "Ed448" and not isinstance(key, ed448.Ed448PublicKey):
+                raise TypeError("The public key must be an instance of Ed448PublicKey")
+
         if not isinstance(key, (ed25519.Ed25519PublicKey, ed448.Ed448PublicKey)):
             raise TypeError(
                 "The public key must be an instance of Ed25519PublicKey or Ed448PublicKey"
diff --git a/src/cryptojwt/jws/jws.py b/src/cryptojwt/jws/jws.py
index 7da26fa3..7a93a843 100644
--- a/src/cryptojwt/jws/jws.py
+++ b/src/cryptojwt/jws/jws.py
@@ -48,6 +48,8 @@
     "PS384": PSSSigner("SHA384"),
     "PS512": PSSSigner("SHA512"),
     "EdDSA": EDDSASigner(),
+    "Ed25519": EDDSASigner("Ed25519"),
+    "Ed448": EDDSASigner("Ed448"),
     "none": None,
 }
 
diff --git a/src/cryptojwt/jws/utils.py b/src/cryptojwt/jws/utils.py
index 9ccf16ff..40ac46f2 100644
--- a/src/cryptojwt/jws/utils.py
+++ b/src/cryptojwt/jws/utils.py
@@ -47,6 +47,10 @@ def alg2keytype(alg):
         return "RSA"
     elif alg.startswith("HS") or alg.startswith("A"):
         return "oct"
+    elif alg == "Ed25519":
+        return "OKP"
+    elif alg == "Ed448":
+        return "OKP"
     elif alg.startswith("ES") or alg.startswith("ECDH-ES"):
         return "EC"
     elif alg == "EdDSA":
diff --git a/tests/test_03_key_bundle.py b/tests/test_03_key_bundle.py
index bd7353ba..e4841924 100755
--- a/tests/test_03_key_bundle.py
+++ b/tests/test_03_key_bundle.py
@@ -225,7 +225,7 @@ def test_ignore_unknown_types():
             "-u6VtZ5rAdBo5fCjjy3LnkrsoK_QWrlKB08j_PcvwpAMfTEDHw5spepw",
             "use": "sig",
             "alg": "EdDSA",
-            "kty": "OKP",
+            "kty": "XXX",
             "crv": "Ed25519",
             "x": "FnbcUAXZ4ySvrmdXK1MrDuiqlqTXvGdAaE4RWZjmFIQ",
         }
diff --git a/tests/test_04_key_issuer.py b/tests/test_04_key_issuer.py
index e2d6f36d..6ff041f1 100755
--- a/tests/test_04_key_issuer.py
+++ b/tests/test_04_key_issuer.py
@@ -446,24 +446,6 @@ def test_load_missing_key_parameter():
             "n": "68be-nJp46VLj4Ci1V36IrVGYqkuBfYNyjQTZD_7yRYcERZebowOnwr3w0DoIQpl8iL2X8OXUo7rUW_LMzLxKx2hEmdJfUn4LL2QqA3KPgjYz8hZJQPG92O14w9IZ-8bdDUgXrg9216H09yq6ZvJrn5Nwvap3MXgECEzsZ6zQLRKdb_R96KFFgCiI3bEiZKvZJRA7hM2ePyTm15D9En_Wzzfn_JLMYgE_DlVpoKR1MsTinfACOlwwdO9U5Dm-5elapovILTyVTgjN75i-wsPU2TqzdHFKA-4hJNiWGrYPiihlAFbA2eUSXuEYFkX43ahoQNpeaf0mc17Jt5kp7pM2w",
             "e": "AQAB",
         },
-        {
-            "kid": "q-H9y8iuh3BIKZBbK6S0mH_isBlJsk"
-            "-u6VtZ5rAdBo5fCjjy3LnkrsoK_QWrlKB08j_PcvwpAMfTEDHw5spepw",
-            "use": "sig",
-            "alg": "EdDSA",
-            "kty": "OKP",
-            "crv": "Ed25519",
-            "x": "FnbcUAXZ4ySvrmdXK1MrDuiqlqTXvGdAaE4RWZjmFIQ",
-        },
-        {
-            "kid": "bL33HthM3fWaYkY2_pDzUd7a65FV2R2LHAKCOsye8eNmAPDgRgpHWPYpWFVmeaujUUEXRyDLHN"
-            "-Up4QH_sFcmw",
-            "use": "sig",
-            "alg": "EdDSA",
-            "kty": "OKP",
-            "crv": "Ed25519",
-            "x": "CS01DGXDBPV9cFmd8tgFu3E7eHn1UcP7N1UCgd_JgZo",
-        },
     ]
 }
 
diff --git a/tests/test_04_key_jar.py b/tests/test_04_key_jar.py
index 9e73e9e1..5f002430 100755
--- a/tests/test_04_key_jar.py
+++ b/tests/test_04_key_jar.py
@@ -538,6 +538,11 @@ def test_load_missing_key_parameter():
             "n": "68be-nJp46VLj4Ci1V36IrVGYqkuBfYNyjQTZD_7yRYcERZebowOnwr3w0DoIQpl8iL2X8OXUo7rUW_LMzLxKx2hEmdJfUn4LL2QqA3KPgjYz8hZJQPG92O14w9IZ-8bdDUgXrg9216H09yq6ZvJrn5Nwvap3MXgECEzsZ6zQLRKdb_R96KFFgCiI3bEiZKvZJRA7hM2ePyTm15D9En_Wzzfn_JLMYgE_DlVpoKR1MsTinfACOlwwdO9U5Dm-5elapovILTyVTgjN75i-wsPU2TqzdHFKA-4hJNiWGrYPiihlAFbA2eUSXuEYFkX43ahoQNpeaf0mc17Jt5kp7pM2w",
             "e": "AQAB",
         },
+    ]
+}
+
+JWKS_EDDSA = {
+    "keys": [
         {
             "kid": "q-H9y8iuh3BIKZBbK6S0mH_isBlJsk"
             "-u6VtZ5rAdBo5fCjjy3LnkrsoK_QWrlKB08j_PcvwpAMfTEDHw5spepw",
@@ -556,6 +561,22 @@ def test_load_missing_key_parameter():
             "crv": "Ed25519",
             "x": "CS01DGXDBPV9cFmd8tgFu3E7eHn1UcP7N1UCgd_JgZo",
         },
+        {
+            "kid": "OF9xVk9NWE5iQ2N6OGhILTVGcXg4RE1FRk5NWVVsaXZLcFNRNUxCYk9vQQ",
+            "use": "sig",
+            "alg": "Ed25519",
+            "kty": "OKP",
+            "crv": "Ed25519",
+            "x": "M_D8nslNSecjPwiP6DwuNhWRdrgqp02U7f5xo4GhdlY",
+        },
+        {
+            "kid": "RUpoaXktM1JwT0hON3lzNWNfN0RUbVpiWExwbnJnNDRfYWhZY3htaTZ1Zw",
+            "use": "sig",
+            "alg": "Ed448",
+            "kty": "OKP",
+            "crv": "Ed448",
+            "x": "C3y5YN00IxyadHXm4NApPGAzv5w8s9e-fbGu2svYrrCuJDYDDZe-uEOPSobII6psCZCEvo2howmA",
+        },
     ]
 }
 
@@ -580,6 +601,16 @@ def test_get_ec_wrong_alg():
     assert k == []
 
 
+def test_get_eddsa():
+    kj = KeyJar()
+    kj.import_jwks(JWKS_EDDSA, "")
+    assert len(kj.get_issuer_keys("")) == 4
+    k = kj.get("sig", "OKP", alg="Ed25519")
+    assert k
+    k = kj.get("sig", "OKP", alg="Ed448")
+    assert k
+
+
 def test_keyjar_eq():
     kj1 = KeyJar()
     kj1.import_jwks(JWKS_SPO, "")
diff --git a/tests/test_06_jws.py b/tests/test_06_jws.py
index 8ce77c2d..286e3b3a 100644
--- a/tests/test_06_jws.py
+++ b/tests/test_06_jws.py
@@ -609,6 +609,20 @@ def test_signer_ps512():
 
 
 def test_signer_eddsa():
+    payload = "Please take a moment to register today"
+    okp = ed25519.Ed25519PrivateKey.generate()
+    _key = OKPKey().load_key(okp)
+    keys = [_key]
+    _jws = JWS(payload, alg="Ed25519")
+    _jwt = _jws.sign_compact(keys)
+
+    _pubkey = OKPKey().load_key(okp.public_key())
+    _rj = JWS(alg="Ed25519")
+    info = _rj.verify_compact(_jwt, [_pubkey])
+    assert info == payload
+
+
+def test_signer_eddsa_polymorphic():
     payload = "Please take a moment to register today"
     okp = ed25519.Ed25519PrivateKey.generate()
     _key = OKPKey().load_key(okp)
@@ -627,12 +641,12 @@ def test_signer_eddsa_fail():
     okp = ed25519.Ed25519PrivateKey.generate()
     _key = OKPKey().load_key(okp)
     keys = [_key]
-    _jws = JWS(payload, alg="EdDSA")
+    _jws = JWS(payload, alg="Ed25519")
     _jwt = _jws.sign_compact(keys)
 
     okp2 = ed25519.Ed25519PrivateKey.generate()
     _pubkey = OKPKey().load_key(okp2.public_key())
-    _rj = JWS(alg="EdDSA")
+    _rj = JWS(alg="Ed25519")
     try:
         info = _rj.verify_compact(_jwt, [_pubkey])
     except BadSignature: