diff --git a/hbase-server/src/test/java/org/apache/hadoop/hbase/master/balancer/TestStochasticLoadBalancer.java b/hbase-server/src/test/java/org/apache/hadoop/hbase/master/balancer/TestStochasticLoadBalancer.java
index dcacfb56ac64..f9e6a9ed4188 100644
--- a/hbase-server/src/test/java/org/apache/hadoop/hbase/master/balancer/TestStochasticLoadBalancer.java
+++ b/hbase-server/src/test/java/org/apache/hadoop/hbase/master/balancer/TestStochasticLoadBalancer.java
@@ -29,6 +29,7 @@
 import java.util.List;
 import java.util.Map;
 import java.util.Queue;
+import java.util.TimeZone;
 import java.util.TreeMap;
 import org.apache.hadoop.conf.Configuration;
 import org.apache.hadoop.hbase.ClusterMetrics;
@@ -48,6 +49,7 @@
 import org.apache.hadoop.hbase.testclassification.MasterTests;
 import org.apache.hadoop.hbase.testclassification.MediumTests;
 import org.apache.hadoop.hbase.util.Bytes;
+import org.apache.hadoop.hbase.util.EnvironmentEdgeManager;
 import org.junit.ClassRule;
 import org.junit.Test;
 import org.junit.experimental.categories.Category;
@@ -214,9 +216,14 @@ public void testMoveCostMultiplier() throws Exception {
     assertEquals(StochasticLoadBalancer.MoveCostFunction.DEFAULT_MOVE_COST,
       costFunction.getMultiplier(), 0.01);
 
-    //In offpeak hours, the multiplier of move cost should be lower
+    // In offpeak hours, the multiplier of move cost should be lower
     conf.setInt("hbase.offpeak.start.hour",0);
     conf.setInt("hbase.offpeak.end.hour",23);
+    // Set a fixed time which hour is 15, so it will always in offpeak
+    // See HBASE-24898 for more info of the calculation here
+    long deltaFor15 = TimeZone.getDefault().getRawOffset() - 28800000;
+    long timeFor15 = 1597907081000L - deltaFor15;
+    EnvironmentEdgeManager.injectEdge(() -> timeFor15);
     costFunction = new StochasticLoadBalancer.MoveCostFunction(conf);
     costFunction.init(cluster);
     costFunction.cost();