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 059b9bbf57dc1..82a0ca6a5795f 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
@@ -736,7 +736,7 @@ object EliminateSorts extends Rule[LogicalPlan] {
 }
 
 /**
- * Removes Sort operations on already sorted data
+ * Removes Sort operation if the child is already sorted
  */
 object RemoveRedundantSorts extends Rule[LogicalPlan] {
   def apply(plan: LogicalPlan): LogicalPlan = plan transform {
diff --git a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/plans/logical/basicLogicalOperators.scala b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/plans/logical/basicLogicalOperators.scala
index 4b2b1b7c2f9c4..ff1409a1fe450 100644
--- a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/plans/logical/basicLogicalOperators.scala
+++ b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/plans/logical/basicLogicalOperators.scala
@@ -525,7 +525,14 @@ case class Range(
     Statistics(sizeInBytes = LongType.defaultSize * numElements)
   }
 
-  override def outputOrdering: Seq[SortOrder] = output.map(a => SortOrder(a, Descending))
+  override def outputOrdering: Seq[SortOrder] = {
+    val order = if (step > 0) {
+      Ascending
+    } else {
+      Descending
+    }
+    output.map(a => SortOrder(a, order))
+  }
 }
 
 case class Aggregate(
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 9bc53b756ae01..2319ab8046e56 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
@@ -29,9 +29,6 @@ import org.apache.spark.sql.internal.SQLConf
 import org.apache.spark.sql.internal.SQLConf.{CASE_SENSITIVE, ORDER_BY_ORDINAL}
 
 class RemoveRedundantSortsSuite extends PlanTest {
-  override val conf = new SQLConf().copy(CASE_SENSITIVE -> true, ORDER_BY_ORDINAL -> false)
-  val catalog = new SessionCatalog(new InMemoryCatalog, EmptyFunctionRegistry, conf)
-  val analyzer = new Analyzer(catalog, conf)
 
   object Optimize extends RuleExecutor[LogicalPlan] {
     val batches =
@@ -46,48 +43,59 @@ class RemoveRedundantSortsSuite extends PlanTest {
   test("remove redundant order by") {
     val orderedPlan = testRelation.select('a, 'b).orderBy('a.asc, 'b.desc_nullsFirst)
     val unnecessaryReordered = orderedPlan.select('a).orderBy('a.asc, 'b.desc_nullsFirst)
-    val optimized = Optimize.execute(analyzer.execute(unnecessaryReordered))
-    val correctAnswer = analyzer.execute(orderedPlan.select('a))
+    val optimized = Optimize.execute(unnecessaryReordered.analyze)
+    val correctAnswer = orderedPlan.select('a).analyze
     comparePlans(Optimize.execute(optimized), correctAnswer)
   }
 
   test("do not remove sort if the order is different") {
     val orderedPlan = testRelation.select('a, 'b).orderBy('a.asc, 'b.desc_nullsFirst)
     val reorderedDifferently = orderedPlan.select('a).orderBy('a.asc, 'b.desc)
-    val optimized = Optimize.execute(analyzer.execute(reorderedDifferently))
-    val correctAnswer = analyzer.execute(reorderedDifferently)
+    val optimized = Optimize.execute(reorderedDifferently.analyze)
+    val correctAnswer = reorderedDifferently.analyze
     comparePlans(optimized, correctAnswer)
   }
 
   test("filters don't affect order") {
     val orderedPlan = testRelation.select('a, 'b).orderBy('a.asc, 'b.desc)
     val filteredAndReordered = orderedPlan.where('a > Literal(10)).orderBy('a.asc, 'b.desc)
-    val optimized = Optimize.execute(analyzer.execute(filteredAndReordered))
-    val correctAnswer = analyzer.execute(orderedPlan.where('a > Literal(10)))
+    val optimized = Optimize.execute(filteredAndReordered.analyze)
+    val correctAnswer = orderedPlan.where('a > Literal(10)).analyze
     comparePlans(optimized, correctAnswer)
   }
 
   test("limits don't affect order") {
     val orderedPlan = testRelation.select('a, 'b).orderBy('a.asc, 'b.desc)
     val filteredAndReordered = orderedPlan.limit(Literal(10)).orderBy('a.asc, 'b.desc)
-    val optimized = Optimize.execute(analyzer.execute(filteredAndReordered))
-    val correctAnswer = analyzer.execute(orderedPlan.limit(Literal(10)))
+    val optimized = Optimize.execute(filteredAndReordered.analyze)
+    val correctAnswer = orderedPlan.limit(Literal(10)).analyze
     comparePlans(optimized, correctAnswer)
   }
 
   test("range is already sorted") {
     val inputPlan = Range(1L, 1000L, 1, 10)
-    val orderedPlan = inputPlan.orderBy('id.desc)
-    val optimized = Optimize.execute(analyzer.execute(orderedPlan))
-    val correctAnswer = analyzer.execute(inputPlan)
+    val orderedPlan = inputPlan.orderBy('id.asc)
+    val optimized = Optimize.execute(orderedPlan.analyze)
+    val correctAnswer = inputPlan.analyze
     comparePlans(optimized, correctAnswer)
+
+    val reversedPlan = inputPlan.orderBy('id.desc)
+    val reversedOptimized = Optimize.execute(reversedPlan.analyze)
+    val reversedCorrectAnswer = reversedPlan.analyze
+    comparePlans(reversedOptimized, reversedCorrectAnswer)
+
+    val negativeStepInputPlan = Range(10L, 1L, -1, 10)
+    val negativeStepOrderedPlan = negativeStepInputPlan.orderBy('id.desc)
+    val negativeStepOptimized = Optimize.execute(negativeStepOrderedPlan.analyze)
+    val negativeStepCorrectAnswer = negativeStepInputPlan.analyze
+    comparePlans(negativeStepOptimized, negativeStepCorrectAnswer)
   }
 
   test("sort should not be removed when there is a node which doesn't guarantee any order") {
     val orderedPlan = testRelation.select('a, 'b).orderBy('a.asc)
     val groupedAndResorted = orderedPlan.groupBy('a)(sum('a)).orderBy('a.asc)
-    val optimized = Optimize.execute(analyzer.execute(groupedAndResorted))
-    val correctAnswer = analyzer.execute(groupedAndResorted)
+    val optimized = Optimize.execute(groupedAndResorted.analyze)
+    val correctAnswer = groupedAndResorted.analyze
     comparePlans(optimized, correctAnswer)
   }
 }
diff --git a/sql/core/src/test/scala/org/apache/spark/sql/execution/PlannerSuite.scala b/sql/core/src/test/scala/org/apache/spark/sql/execution/PlannerSuite.scala
index a158a42b3df9c..4c454917bdfab 100644
--- a/sql/core/src/test/scala/org/apache/spark/sql/execution/PlannerSuite.scala
+++ b/sql/core/src/test/scala/org/apache/spark/sql/execution/PlannerSuite.scala
@@ -204,10 +204,10 @@ class PlannerSuite extends SharedSQLContext {
     val resorted = query.sort('key.desc)
     assert(resorted.queryExecution.optimizedPlan.collect { case s: Sort => s}.isEmpty)
     assert(resorted.select('key).collect().map(_.getInt(0)).toSeq ==
-      (1 to 100).sorted(Ordering[Int].reverse))
+      (1 to 100).reverse)
     // with a different order, the sort is needed
     val sortedAsc = query.sort('key)
-    assert(sortedAsc.queryExecution.optimizedPlan.collect { case s: Sort => s}.nonEmpty)
+    assert(sortedAsc.queryExecution.optimizedPlan.collect { case s: Sort => s}.size == 1)
     assert(sortedAsc.select('key).collect().map(_.getInt(0)).toSeq == (1 to 100))
   }