diff --git a/phpseclib/File/X509.php b/phpseclib/File/X509.php
index 429b7724..3649c3e7 100644
--- a/phpseclib/File/X509.php
+++ b/phpseclib/File/X509.php
@@ -1514,6 +1514,7 @@ class File_X509
                         $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 34999245..375a4549 100644
--- a/tests/Unit/File/X509/X509Test.php
+++ b/tests/Unit/File/X509/X509Test.php
@@ -138,6 +138,7 @@ aBtsWpliLSex/HHhtRW9AkBGcq67zKmEpJ9kXcYLEjJii3flFS+Ct/rNm+Hhm1l7
 
         $this->assertArrayHasKey('parameters', $cert['tbsCertificate']['subjectPublicKeyInfo']['algorithm']);
         $this->assertArrayHasKey('parameters', $cert['signatureAlgorithm']);
+        $this->assertArrayHasKey('parameters', $cert['tbsCertificate']['signature']);
     }
 
     private function _encodeOID($oid)