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..06bca33764c93 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 +171,20 @@ 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.
+          // This partial fix only guarantees the start of materialization for BroadcastQueryStage
+          // is prior to others, but because the submission of collect job for broadcasting is
+          // running in another thread, the issue is not completely resolved.
+          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/main/scala/org/apache/spark/sql/execution/adaptive/QueryStageExec.scala b/sql/core/src/main/scala/org/apache/spark/sql/execution/adaptive/QueryStageExec.scala
index 74fe1eaab6f64..91a91a656a346 100644
--- a/sql/core/src/main/scala/org/apache/spark/sql/execution/adaptive/QueryStageExec.scala
+++ b/sql/core/src/main/scala/org/apache/spark/sql/execution/adaptive/QueryStageExec.scala
@@ -76,6 +76,7 @@ abstract class QueryStageExec extends LeafExecNode {
    * stage is ready.
    */
   final def materialize(): Future[Any] = executeQuery {
+    logDebug(s"Materialize query stage ${this.getClass.getSimpleName}: $id")
     doMaterialize()
   }
 
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..dca4d88f840fa 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 +903,27 @@ class AdaptiveQueryExecSuite
       }
     }
   }
+
+  test("SPARK-33933: Materialize BroadcastQueryStage first in AQE") {
+    val testAppender = new LogAppender("aqe query stage materialization order test")
+    val df = spark.range(1000).select($"id" % 26, $"id" % 10)
+      .toDF("index", "pv")
+    val dim = Range(0, 26).map(x => (x, ('a' + x).toChar.toString))
+      .toDF("index", "name")
+    val testDf = df.groupBy("index")
+      .agg(sum($"pv").alias("pv"))
+      .join(dim, Seq("index"))
+    withLogAppender(testAppender, level = Some(Level.DEBUG)) {
+      withSQLConf(SQLConf.ADAPTIVE_EXECUTION_ENABLED.key -> "true") {
+        val result = testDf.collect()
+        assert(result.length == 26)
+      }
+    }
+    val materializeLogs = testAppender.loggingEvents
+      .map(_.getRenderedMessage)
+      .filter(_.startsWith("Materialize query stage"))
+      .toArray
+    assert(materializeLogs(0).startsWith("Materialize query stage BroadcastQueryStageExec"))
+    assert(materializeLogs(1).startsWith("Materialize query stage ShuffleQueryStageExec"))
+  }
 }