diff --git a/test/hotspot/jtreg/runtime/NMT/HugeArenaTracking.java b/test/hotspot/jtreg/runtime/NMT/HugeArenaTracking.java
index 6c35c266829..9f1e4ea3a79 100644
--- a/test/hotspot/jtreg/runtime/NMT/HugeArenaTracking.java
+++ b/test/hotspot/jtreg/runtime/NMT/HugeArenaTracking.java
@@ -24,7 +24,7 @@
 
 /*
  * @test
- * @key nmt jcmd
+ * @key nmt jcmd randomness
  * @library /test/lib
  * @requires vm.bits == 64
  * @modules java.base/jdk.internal.misc
@@ -39,6 +39,7 @@
 import jdk.test.lib.process.ProcessTools;
 import jdk.test.lib.process.OutputAnalyzer;
 import jdk.test.lib.JDKToolFinder;
+import jdk.test.lib.Utils;
 import sun.hotspot.WhiteBox;
 
 public class HugeArenaTracking {
@@ -60,7 +61,7 @@ public static void main(String args[]) throws Exception {
     output = new OutputAnalyzer(pb.start());
     output.shouldContain("Test (reserved=2KB, committed=2KB)");
 
-    Random rand = new Random();
+    Random rand = Utils.getRandomInstance();
 
     // Allocate 2GB+ from arena
     long total = 0;
diff --git a/test/hotspot/jtreg/runtime/NMT/MallocStressTest.java b/test/hotspot/jtreg/runtime/NMT/MallocStressTest.java
index fb3238d2d67..7f322e64e7c 100644
--- a/test/hotspot/jtreg/runtime/NMT/MallocStressTest.java
+++ b/test/hotspot/jtreg/runtime/NMT/MallocStressTest.java
@@ -1,5 +1,5 @@
 /*
- * Copyright (c) 2014, 2019, Oracle and/or its affiliates. All rights reserved.
+ * Copyright (c) 2014, 2020, Oracle and/or its affiliates. All rights reserved.
  * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
  *
  * This code is free software; you can redistribute it and/or modify it
@@ -24,7 +24,7 @@
 /*
  * @test
  * @summary Stress test for malloc tracking
- * @key nmt jcmd stress
+ * @key nmt jcmd stress randomness
  * @library /test/lib
  * @modules java.base/jdk.internal.misc
  *          java.management
@@ -39,6 +39,7 @@
 import java.util.Random;
 import jdk.test.lib.JDKToolFinder;
 import jdk.test.lib.Platform;
+import jdk.test.lib.Utils;
 import jdk.test.lib.process.ProcessTools;
 import jdk.test.lib.process.OutputAnalyzer;
 import sun.hotspot.WhiteBox;
@@ -159,6 +160,7 @@ static class MallocMemory {
     }
 
     static class AllocThread extends Thread {
+        private final Random random = new Random(Utils.getRandomInstance().nextLong());
         AllocThread() {
             this.setName("MallocThread");
             this.start();
@@ -166,7 +168,6 @@ static class AllocThread extends Thread {
 
         // AllocThread only runs "Alloc" phase
         public void run() {
-            Random random = new Random();
             // MallocStressTest.phase == TestPhase.alloc
             for (int loops = 0; loops < 100; loops++) {
                 int r = random.nextInt(Integer.MAX_VALUE);
@@ -201,7 +202,7 @@ public void run() {
     }
 
     static class ReleaseThread extends Thread {
-        private Random random = new Random();
+        private final Random random = new Random(Utils.getRandomInstance().nextLong());
         ReleaseThread() {
             this.setName("ReleaseThread");
             this.start();
diff --git a/test/hotspot/jtreg/runtime/NMT/MallocTrackingVerify.java b/test/hotspot/jtreg/runtime/NMT/MallocTrackingVerify.java
index 68b535dbc9b..269856db187 100644
--- a/test/hotspot/jtreg/runtime/NMT/MallocTrackingVerify.java
+++ b/test/hotspot/jtreg/runtime/NMT/MallocTrackingVerify.java
@@ -1,5 +1,5 @@
 /*
- * Copyright (c) 2014, 2016, Oracle and/or its affiliates. All rights reserved.
+ * Copyright (c) 2014, 2020, Oracle and/or its affiliates. All rights reserved.
  * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
  *
  * This code is free software; you can redistribute it and/or modify it
@@ -25,7 +25,7 @@
  * @test
  * @bug 8054836
  * @summary Test to verify correctness of malloc tracking
- * @key nmt jcmd
+ * @key nmt jcmd randomness
  * @library /test/lib
  * @modules java.base/jdk.internal.misc
  *          java.management
@@ -41,6 +41,7 @@
 import jdk.test.lib.process.ProcessTools;
 import jdk.test.lib.process.OutputAnalyzer;
 import jdk.test.lib.JDKToolFinder;
+import jdk.test.lib.Utils;
 
 import sun.hotspot.WhiteBox;
 
@@ -58,7 +59,7 @@ public static void main(String args[]) throws Exception {
         String pid = Long.toString(ProcessTools.getProcessId());
         ProcessBuilder pb = new ProcessBuilder();
 
-        Random random = new Random();
+        Random random = Utils.getRandomInstance();
         // Allocate small amounts of memory with random pseudo call stack
         while (mallocd_total < MAX_ALLOC) {
             int size = random.nextInt(31) + 1;
diff --git a/test/hotspot/jtreg/runtime/appcds/SharedArchiveConsistency.java b/test/hotspot/jtreg/runtime/appcds/SharedArchiveConsistency.java
index 2982bb6ab10..216646ccc93 100644
--- a/test/hotspot/jtreg/runtime/appcds/SharedArchiveConsistency.java
+++ b/test/hotspot/jtreg/runtime/appcds/SharedArchiveConsistency.java
@@ -24,6 +24,7 @@
 
 /*
  * @test
+ * @key randomness
  * @summary SharedArchiveConsistency
  * @requires vm.cds
  * @library /test/lib
diff --git a/test/hotspot/jtreg/runtime/appcds/cacheObject/GCStressApp.java b/test/hotspot/jtreg/runtime/appcds/cacheObject/GCStressApp.java
index 636da040d6b..824c88be2da 100644
--- a/test/hotspot/jtreg/runtime/appcds/cacheObject/GCStressApp.java
+++ b/test/hotspot/jtreg/runtime/appcds/cacheObject/GCStressApp.java
@@ -1,5 +1,5 @@
 /*
- * Copyright (c) 2017, Oracle and/or its affiliates. All rights reserved.
+ * Copyright (c) 2017, 2020, Oracle and/or its affiliates. All rights reserved.
  * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
  *
  * This code is free software; you can redistribute it and/or modify it
@@ -24,6 +24,7 @@
 
 import java.io.*;
 import java.util.*;
+import jdk.test.lib.Utils;
 import sun.hotspot.WhiteBox;
 
 // All strings in archived classes are shared
@@ -43,7 +44,7 @@ static String get_shared_string1() {
 
     static void allocAlot() {
         try {
-            Random random = new Random();
+            Random random = Utils.getRandomInstance();
             for (int i = 0; i < 1024 * 1024; i++) {
                 int len = random.nextInt(10000);
                 arr = new int[len];
diff --git a/test/hotspot/jtreg/runtime/appcds/cacheObject/GCStressTest.java b/test/hotspot/jtreg/runtime/appcds/cacheObject/GCStressTest.java
index 2d2cfff453a..326307480f9 100644
--- a/test/hotspot/jtreg/runtime/appcds/cacheObject/GCStressTest.java
+++ b/test/hotspot/jtreg/runtime/appcds/cacheObject/GCStressTest.java
@@ -1,5 +1,5 @@
 /*
- * Copyright (c) 2017, 2018, Oracle and/or its affiliates. All rights reserved.
+ * Copyright (c) 2017, 2020, Oracle and/or its affiliates. All rights reserved.
  * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
  *
  * This code is free software; you can redistribute it and/or modify it
@@ -24,15 +24,16 @@
 
 /*
  * @test
+ * @key randomness
  * @summary
  * @requires vm.cds.archived.java.heap
  * @library /test/lib /test/hotspot/jtreg/runtime/appcds
  * @modules java.base/jdk.internal.misc
  * @modules java.management
  *          jdk.jartool/sun.tools.jar
- * @build sun.hotspot.WhiteBox
+ * @build sun.hotspot.WhiteBox jdk.test.lib.Utils
  * @compile GCStressApp.java
- * @run driver ClassFileInstaller -jar gcstress.jar GCStressApp
+ * @run driver ClassFileInstaller -jar gcstress.jar GCStressApp jdk.test.lib.Utils
  * @run driver ClassFileInstaller -jar WhiteBox.jar sun.hotspot.WhiteBox
  * @run main GCStressTest
  */