diff --git a/backends-velox/src/test/scala/org/apache/gluten/execution/TestOperator.scala b/backends-velox/src/test/scala/org/apache/gluten/execution/TestOperator.scala
index 0fb5fb54900b..86a62a4471a5 100644
--- a/backends-velox/src/test/scala/org/apache/gluten/execution/TestOperator.scala
+++ b/backends-velox/src/test/scala/org/apache/gluten/execution/TestOperator.scala
@@ -354,6 +354,13 @@ class TestOperator extends VeloxWholeStageTransformerSuite with AdaptiveSparkPla
     Seq("sort", "streaming").foreach {
       windowType =>
         withSQLConf("spark.gluten.sql.columnar.backend.velox.window.type" -> windowType) {
+          runQueryAndCompare(
+            "select max(l_partkey) over" +
+              " (partition by l_suppkey order by l_commitdate" +
+              " RANGE BETWEEN 1 PRECEDING AND CURRENT ROW) from lineitem ") {
+            checkSparkOperatorMatch[WindowExecTransformer]
+          }
+
           runQueryAndCompare(
             "select max(l_partkey) over" +
               " (partition by l_suppkey order by l_orderkey" +
diff --git a/gluten-core/src/main/scala/org/apache/gluten/extension/columnar/rewrite/PullOutPreProject.scala b/gluten-core/src/main/scala/org/apache/gluten/extension/columnar/rewrite/PullOutPreProject.scala
index 73b8ab2607eb..51cdb76a1559 100644
--- a/gluten-core/src/main/scala/org/apache/gluten/extension/columnar/rewrite/PullOutPreProject.scala
+++ b/gluten-core/src/main/scala/org/apache/gluten/extension/columnar/rewrite/PullOutPreProject.scala
@@ -76,17 +76,7 @@ object PullOutPreProject extends RewriteSingleNode with PullOutProjectHelper {
             }
           case _ => false
         }.isDefined) ||
-        window.windowExpression.exists(_.find {
-          case we: WindowExpression =>
-            we.windowSpec.frameSpecification match {
-              case swf: SpecifiedWindowFrame
-                  if needPreComputeRangeFrame(swf) && supportPreComputeRangeFrame(
-                    we.windowSpec.orderSpec) =>
-                true
-              case _ => false
-            }
-          case _ => false
-        }.isDefined)
+        windowNeedPreComputeRangeFrame(window)
       case plan if SparkShimLoader.getSparkShims.isWindowGroupLimitExec(plan) =>
         val window = SparkShimLoader.getSparkShims
           .getWindowGroupLimitExecShim(plan)
@@ -176,14 +166,16 @@ object PullOutPreProject extends RewriteSingleNode with PullOutProjectHelper {
 
     case window: WindowExec if needsPreProject(window) =>
       val expressionMap = new mutable.HashMap[Expression, NamedExpression]()
-      // Handle orderSpec.
-      val newOrderSpec = getNewSortOrder(window.orderSpec, expressionMap)
-
-      // Handle partitionSpec.
+      // Handle foldable orderSpec and foldable partitionSpec. Spark analyzer rule
+      // ExtractWindowExpressions will extract expressions from non-foldable orderSpec and
+      // partitionSpec.
+      var newOrderSpec = getNewSortOrder(window.orderSpec, expressionMap)
       val newPartitionSpec =
         window.partitionSpec.map(replaceExpressionWithAttribute(_, expressionMap))
 
       // Handle windowExpressions.
+      newOrderSpec = rewriteOrderSpecs(window, newOrderSpec, expressionMap)
+
       val newWindowExpressions = window.windowExpression.toIndexedSeq.map {
         _.transform {
           case we: WindowExpression => rewriteWindowExpression(we, newOrderSpec, expressionMap)
diff --git a/gluten-core/src/main/scala/org/apache/gluten/utils/PullOutProjectHelper.scala b/gluten-core/src/main/scala/org/apache/gluten/utils/PullOutProjectHelper.scala
index 12055f9e9721..85be57493f02 100644
--- a/gluten-core/src/main/scala/org/apache/gluten/utils/PullOutProjectHelper.scala
+++ b/gluten-core/src/main/scala/org/apache/gluten/utils/PullOutProjectHelper.scala
@@ -22,8 +22,10 @@ import org.apache.gluten.exception.{GlutenException, GlutenNotSupportException}
 import org.apache.spark.sql.catalyst.expressions._
 import org.apache.spark.sql.catalyst.expressions.aggregate.{AggregateExpression, AggregateFunction}
 import org.apache.spark.sql.execution.aggregate._
+import org.apache.spark.sql.execution.window.WindowExec
 import org.apache.spark.sql.types.{ByteType, DateType, IntegerType, LongType, ShortType}
 
+import java.sql.Date
 import java.util.concurrent.atomic.AtomicInteger
 
 import scala.collection.mutable
@@ -161,14 +163,32 @@ trait PullOutProjectHelper {
       case _: PreComputeRangeFrameBound => bound
       case _ if !bound.foldable => bound
       case _ if bound.foldable =>
+        val orderExpr = if (expressionMap.contains(orderSpec.child)) {
+          expressionMap(orderSpec.child).asInstanceOf[Alias].child
+        } else {
+          orderSpec.child
+        }
         val a = expressionMap
           .getOrElseUpdate(
             bound.canonicalized,
-            Alias(Add(orderSpec.child, bound), generatePreAliasName)())
+            Alias(Add(orderExpr, bound), generatePreAliasName)())
         PreComputeRangeFrameBound(a.asInstanceOf[Alias], bound)
     }
   }
 
+  protected def windowNeedPreComputeRangeFrame(w: WindowExec): Boolean =
+    w.windowExpression.exists(_.find {
+      case we: WindowExpression =>
+        we.windowSpec.frameSpecification match {
+          case swf: SpecifiedWindowFrame
+              if needPreComputeRangeFrame(swf) && supportPreComputeRangeFrame(
+                we.windowSpec.orderSpec) =>
+            true
+          case _ => false
+        }
+      case _ => false
+    }.isDefined)
+
   protected def needPreComputeRangeFrame(swf: SpecifiedWindowFrame): Boolean = {
     BackendsApiManager.getSettings.needPreComputeRangeFrameBoundary &&
     swf.frameType == RangeFrame &&
@@ -185,6 +205,36 @@ trait PullOutProjectHelper {
     }
   }
 
+  /**
+   * Convert DateType to IntType for orderSpec if needPreComputeRangeFrame, because spark's frame
+   * type does not support DateType. It does not affect the correctness of sort.
+   */
+  protected def rewriteOrderSpecs(
+      window: WindowExec,
+      orderSpecs: Seq[SortOrder],
+      expressionMap: mutable.HashMap[Expression, NamedExpression]): Seq[SortOrder] = {
+    if (windowNeedPreComputeRangeFrame(window)) {
+      // This is guaranteed by Spark, but we still check it here
+      if (orderSpecs.size != 1) {
+        throw new GlutenException(
+          s"A range window frame with value boundaries expects one and only one " +
+            s"order by expression: ${orderSpecs.mkString(",")}")
+      }
+      val orderSpec = orderSpecs.head
+      orderSpec.child.dataType match {
+        case DateType =>
+          val alias = Alias(
+            DateDiff(orderSpec.child, Literal(Date.valueOf("1970-01-01"))),
+            generatePreAliasName)()
+          expressionMap.getOrElseUpdate(alias.toAttribute, alias)
+          Seq(orderSpec.copy(child = alias.toAttribute))
+        case _ => orderSpecs
+      }
+    } else {
+      orderSpecs
+    }
+  }
+
   protected def rewriteWindowExpression(
       we: WindowExpression,
       orderSpecs: Seq[SortOrder],
@@ -202,12 +252,6 @@ trait PullOutProjectHelper {
 
     val newWindowSpec = we.windowSpec.frameSpecification match {
       case swf: SpecifiedWindowFrame if needPreComputeRangeFrame(swf) =>
-        // This is guaranteed by Spark, but we still check it here
-        if (orderSpecs.size != 1) {
-          throw new GlutenException(
-            s"A range window frame with value boundaries expects one and only one " +
-              s"order by expression: ${orderSpecs.mkString(",")}")
-        }
         val orderSpec = orderSpecs.head
         val lowerFrameCol = preComputeRangeFrameBoundary(swf.lower, orderSpec, expressionMap)
         val upperFrameCol = preComputeRangeFrameBoundary(swf.upper, orderSpec, expressionMap)