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 7455e68ee8f64..27ea0728c00b3 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
@@ -381,6 +381,10 @@ object ColumnPruning extends Rule[LogicalPlan] {
         p
       }
 
+    // Eliminate the child from the Projects with no references to its child
+    case p @ Project(projectList, child) if p.references.intersect(child.outputSet).isEmpty =>
+      Project(projectList, OneRowRelation)
+
     // Can't prune the columns on LeafNode
     case p @ Project(_, l: LeafNode) => p
 
diff --git a/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/optimizer/ColumnPruningSuite.scala b/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/optimizer/ColumnPruningSuite.scala
index d09601e0343d7..5fdcf0c830e8c 100644
--- a/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/optimizer/ColumnPruningSuite.scala
+++ b/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/optimizer/ColumnPruningSuite.scala
@@ -284,5 +284,19 @@ class ColumnPruningSuite extends PlanTest {
     comparePlans(Optimize.execute(plan1.analyze), correctAnswer1)
   }
 
+  test("Eliminate the Project with no references to its child") {
+    val expectedInput = OneRowRelation
+    val expected = Project(Literal(1).as("1") :: Nil, expectedInput).analyze
+
+    val input = LocalRelation('key.int, 'value.string)
+    val query1 =
+      Project(Literal(1).as("1") :: Nil, Project(Literal(1).as("1") :: Nil, input)).analyze
+    comparePlans(Optimize.execute(query1), expected)
+
+    val query2 =
+      Project(Literal(1).as("1") :: Nil, Project(Nil, input)).analyze
+    comparePlans(Optimize.execute(query2), expected)
+  }
+
   // todo: add more tests for column pruning
 }