diff --git a/src/CryptoTypes/AlgorithmIdentifier/AlgorithmIdentifier.php b/src/CryptoTypes/AlgorithmIdentifier/AlgorithmIdentifier.php
index 71226d4..c78e174 100644
--- a/src/CryptoTypes/AlgorithmIdentifier/AlgorithmIdentifier.php
+++ b/src/CryptoTypes/AlgorithmIdentifier/AlgorithmIdentifier.php
@@ -29,6 +29,8 @@ abstract class AlgorithmIdentifier implements AlgorithmIdentifierType
 
     final public const OID_SHA1_WITH_RSA_ENCRYPTION = '1.2.840.113549.1.1.5';
 
+    final public const OID_RSASSA_PSS_ENCRYPTION = '1.2.840.113549.1.1.10';
+
     final public const OID_SHA256_WITH_RSA_ENCRYPTION = '1.2.840.113549.1.1.11';
 
     final public const OID_SHA384_WITH_RSA_ENCRYPTION = '1.2.840.113549.1.1.12';
diff --git a/src/CryptoTypes/Asymmetric/OneAsymmetricKey.php b/src/CryptoTypes/Asymmetric/OneAsymmetricKey.php
index 0ead218..ec231a2 100644
--- a/src/CryptoTypes/Asymmetric/OneAsymmetricKey.php
+++ b/src/CryptoTypes/Asymmetric/OneAsymmetricKey.php
@@ -181,8 +181,9 @@ public function privateKey(): PrivateKey
     {
         $algo = $this->algorithmIdentifier();
         switch ($algo->oid()) {
-            // RSA
+            // RSA (including RSASSA-PSS)
             case AlgorithmIdentifier::OID_RSA_ENCRYPTION:
+            case AlgorithmIdentifier::OID_RSASSA_PSS_ENCRYPTION:
                 return RSAPrivateKey::fromDER($this->privateKeyData);
                 // elliptic curve
             case AlgorithmIdentifier::OID_EC_PUBLIC_KEY:
@@ -225,8 +226,9 @@ public function privateKey(): PrivateKey
                 return X448PrivateKey::fromOctetString(OctetString::fromDER($this->privateKeyData), $pubkey)
                     ->withVersion($this->version)
                     ->withAttributes($this->attributes);
+            default:
+                throw new RuntimeException('Private key ' . $algo->name() . ' not supported.');
         }
-        throw new RuntimeException('Private key ' . $algo->name() . ' not supported.');
     }
 
     /**