diff --git a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/optimizer/Optimizer.scala b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/optimizer/Optimizer.scala
index b68f736051dd6..b4068dfacf64c 100644
--- a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/optimizer/Optimizer.scala
+++ b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/optimizer/Optimizer.scala
@@ -738,13 +738,20 @@ object EliminateSorts extends Rule[LogicalPlan] {
 /**
  * Removes redundant Sort operation. This can happen:
  * 1) if the child is already sorted
- * 2) if the next operator is a Sort itself
+ * 2) if the there is another Sort operator separated by 0...n Project/Filter operators
  */
 object RemoveRedundantSorts extends Rule[LogicalPlan] {
   def apply(plan: LogicalPlan): LogicalPlan = plan transform {
     case Sort(orders, true, child) if SortOrder.orderingSatisfies(child.outputOrdering, orders) =>
       child
-    case s @ Sort(_, _, Sort(_, _, child)) => s.copy(child = child)
+    case s @ Sort(_, _, child) => s.copy(child = recursiveRemoveSort(child))
+  }
+
+  def recursiveRemoveSort(plan: LogicalPlan): LogicalPlan = plan match {
+    case Project(fields, child) => Project(fields, recursiveRemoveSort(child))
+    case Filter(condition, child) => Filter(condition, recursiveRemoveSort(child))
+    case Sort(_, _, child) => recursiveRemoveSort(child)
+    case _ => plan
   }
 }
 
diff --git a/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/optimizer/RemoveRedundantSortsSuite.scala b/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/optimizer/RemoveRedundantSortsSuite.scala
index c0b0c2ac57caf..a1ac9e3f3339a 100644
--- a/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/optimizer/RemoveRedundantSortsSuite.scala
+++ b/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/optimizer/RemoveRedundantSortsSuite.scala
@@ -105,4 +105,24 @@ class RemoveRedundantSortsSuite extends PlanTest {
     val correctAnswer = testRelation.orderBy('b.desc).analyze
     comparePlans(optimized, correctAnswer)
   }
+
+  test("remove sorts separated by Filter/Project operators") {
+    val orderedTwiceWithProject = testRelation.orderBy('a.asc).select('b).orderBy('b.desc)
+    val optimizedWithProject = Optimize.execute(orderedTwiceWithProject.analyze)
+    val correctAnswerWithProject = testRelation.select('b).orderBy('b.desc).analyze
+    comparePlans(optimizedWithProject, correctAnswerWithProject)
+
+    val orderedTwiceWithFilter =
+      testRelation.orderBy('a.asc).where('b > Literal(0)).orderBy('b.desc)
+    val optimizedWithFilter = Optimize.execute(orderedTwiceWithFilter.analyze)
+    val correctAnswerWithFilter = testRelation.where('b > Literal(0)).orderBy('b.desc).analyze
+    comparePlans(optimizedWithFilter, correctAnswerWithFilter)
+
+    val orderedTwiceWithBoth =
+      testRelation.orderBy('a.asc).select('b).where('b > Literal(0)).orderBy('b.desc)
+    val optimizedWithBoth = Optimize.execute(orderedTwiceWithBoth.analyze)
+    val correctAnswerWithBoth =
+      testRelation.select('b).where('b > Literal(0)).orderBy('b.desc).analyze
+    comparePlans(optimizedWithBoth, correctAnswerWithBoth)
+  }
 }