diff --git a/core/src/main/scala/org/apache/spark/deploy/history/HistoryServer.scala b/core/src/main/scala/org/apache/spark/deploy/history/HistoryServer.scala
index fa9bfe5426b6c..af483d560b33e 100644
--- a/core/src/main/scala/org/apache/spark/deploy/history/HistoryServer.scala
+++ b/core/src/main/scala/org/apache/spark/deploy/history/HistoryServer.scala
@@ -96,6 +96,10 @@ class HistoryServer(
         }
       }
     }
+    // SPARK-5983 ensure TRACE is not supported
+    protected override def doTrace(req: HttpServletRequest, res: HttpServletResponse): Unit = {
+      res.sendError(HttpServletResponse.SC_METHOD_NOT_ALLOWED)
+    }
   }
 
   initialize()
diff --git a/core/src/main/scala/org/apache/spark/ui/JettyUtils.scala b/core/src/main/scala/org/apache/spark/ui/JettyUtils.scala
index bf4b24e98b134..95f254a9ef22a 100644
--- a/core/src/main/scala/org/apache/spark/ui/JettyUtils.scala
+++ b/core/src/main/scala/org/apache/spark/ui/JettyUtils.scala
@@ -80,6 +80,10 @@ private[spark] object JettyUtils extends Logging {
             response.sendError(HttpServletResponse.SC_BAD_REQUEST, e.getMessage)
         }
       }
+      // SPARK-5983 ensure TRACE is not supported
+      protected override def doTrace(req: HttpServletRequest, res: HttpServletResponse): Unit = {
+        res.sendError(HttpServletResponse.SC_METHOD_NOT_ALLOWED)
+      }
     }
   }
 
@@ -119,6 +123,10 @@ private[spark] object JettyUtils extends Logging {
         val newUrl = new URL(new URL(request.getRequestURL.toString), prefixedDestPath).toString
         response.sendRedirect(newUrl)
       }
+      // SPARK-5983 ensure TRACE is not supported
+      protected override def doTrace(req: HttpServletRequest, res: HttpServletResponse): Unit = {
+        res.sendError(HttpServletResponse.SC_METHOD_NOT_ALLOWED)
+      }
     }
     createServletHandler(srcPath, servlet, basePath)
   }