diff --git a/phpseclib/File/X509.php b/phpseclib/File/X509.php
index fa52bbb4..af46790f 100644
--- a/phpseclib/File/X509.php
+++ b/phpseclib/File/X509.php
@@ -1491,6 +1491,9 @@ class X509
                            it seems like perhaps the ASN.1 description ought not say the parameters field is OPTIONAL, but whatever.
                          */
                         $cert['tbsCertificate']['subjectPublicKeyInfo']['algorithm']['parameters'] = null;
+                        // https://tools.ietf.org/html/rfc3279#section-2.2.1
+                        $cert['signatureAlgorithm']['parameters'] = null;
+                        $cert['tbsCertificate']['signature']['parameters'] = null;
                 }
         }
 
diff --git a/tests/Unit/File/X509/X509Test.php b/tests/Unit/File/X509/X509Test.php
index 88ae279d..06c8efb3 100644
--- a/tests/Unit/File/X509/X509Test.php
+++ b/tests/Unit/File/X509/X509Test.php
@@ -140,6 +140,8 @@ aBtsWpliLSex/HHhtRW9AkBGcq67zKmEpJ9kXcYLEjJii3flFS+Ct/rNm+Hhm1l7
         $cert = $x509->loadX509($cert);
 
         $this->assertArrayHasKey('parameters', $cert['tbsCertificate']['subjectPublicKeyInfo']['algorithm']);
+        $this->assertArrayHasKey('parameters', $cert['signatureAlgorithm']);
+        $this->assertArrayHasKey('parameters', $cert['tbsCertificate']['signature']);
     }
 
     private function _encodeOID($oid)