diff --git a/sql/core/src/main/scala/org/apache/spark/sql/execution/adaptive/AdaptiveSparkPlanExec.scala b/sql/core/src/main/scala/org/apache/spark/sql/execution/adaptive/AdaptiveSparkPlanExec.scala
index 187827ca6005e..c5558665dcc1d 100644
--- a/sql/core/src/main/scala/org/apache/spark/sql/execution/adaptive/AdaptiveSparkPlanExec.scala
+++ b/sql/core/src/main/scala/org/apache/spark/sql/execution/adaptive/AdaptiveSparkPlanExec.scala
@@ -171,8 +171,17 @@ case class AdaptiveSparkPlanExec(
           stagesToReplace = result.newStages ++ stagesToReplace
           executionId.foreach(onUpdatePlan(_, result.newStages.map(_.plan)))
 
+          // SPARK-33933: we should submit tasks of broadcast stages first, to avoid waiting
+          // for tasks to be scheduled and leading to broadcast timeout.
+          val reorderedNewStages = result.newStages
+            .sortWith {
+              case (_: BroadcastQueryStageExec, _: BroadcastQueryStageExec) => false
+              case (_: BroadcastQueryStageExec, _) => true
+              case _ => false
+            }
+
           // Start materialization of all new stages and fail fast if any stages failed eagerly
-          result.newStages.foreach { stage =>
+          reorderedNewStages.foreach { stage =>
             try {
               stage.materialize().onComplete { res =>
                 if (res.isSuccess) {
diff --git a/sql/core/src/test/scala/org/apache/spark/sql/execution/adaptive/AdaptiveQueryExecSuite.scala b/sql/core/src/test/scala/org/apache/spark/sql/execution/adaptive/AdaptiveQueryExecSuite.scala
index 6d97a6bb47d0f..f30bf539624fa 100644
--- a/sql/core/src/test/scala/org/apache/spark/sql/execution/adaptive/AdaptiveQueryExecSuite.scala
+++ b/sql/core/src/test/scala/org/apache/spark/sql/execution/adaptive/AdaptiveQueryExecSuite.scala
@@ -903,4 +903,28 @@ class AdaptiveQueryExecSuite
       }
     }
   }
+
+  test("SPARK-33933: AQE broadcast should not timeout with slow map tasks") {
+    val broadcastTimeoutInSec = 1
+    val df = spark.sparkContext.parallelize(Range(0, 100), 100)
+      .flatMap(x => {
+        Thread.sleep(20)
+        for (i <- Range(0, 100)) yield (x % 26, x % 10)
+      }).toDF("index", "pv")
+    val dim = Range(0, 26).map(x => (x, ('a' + x).toChar.toString))
+      .toDF("index", "name")
+    val testDf = df.groupBy("index")
+      .agg(sum($"pv").alias("pv"))
+      .join(dim, Seq("index"))
+    withSQLConf(SQLConf.BROADCAST_TIMEOUT.key -> broadcastTimeoutInSec.toString,
+      SQLConf.ADAPTIVE_EXECUTION_ENABLED.key -> "true") {
+      val startTime = System.currentTimeMillis()
+      val result = testDf.collect()
+      val queryTime = System.currentTimeMillis() - startTime
+      assert(result.length == 26)
+      // make sure the execution time is large enough
+      assert(queryTime > (broadcastTimeoutInSec + 1) * 1000)
+    }
+  }
+
 }