diff --git a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/dsl/package.scala b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/dsl/package.scala
index efb2eba655e1..8cf69c6f3c92 100644
--- a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/dsl/package.scala
+++ b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/dsl/package.scala
@@ -149,6 +149,7 @@ package object dsl {
       }
     }
 
+    def rand(e: Long): Expression = Rand(Literal.create(e, LongType))
     def sum(e: Expression): Expression = Sum(e).toAggregateExpression()
     def sumDistinct(e: Expression): Expression = Sum(e).toAggregateExpression(isDistinct = true)
     def count(e: Expression): Expression = Count(e).toAggregateExpression()
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 aa992def1ce6..2cc27d82f7d2 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
@@ -526,9 +526,10 @@ object ColumnPruning extends Rule[LogicalPlan] {
 
   /**
    * The Project before Filter is not necessary but conflict with PushPredicatesThroughProject,
-   * so remove it.
+   * so remove it. Since the Projects have been added top-down, we need to remove in bottom-up
+   * order, otherwise lower Projects can be missed.
    */
-  private def removeProjectBeforeFilter(plan: LogicalPlan): LogicalPlan = plan transform {
+  private def removeProjectBeforeFilter(plan: LogicalPlan): LogicalPlan = plan transformUp {
     case p1 @ Project(_, f @ Filter(_, p2 @ Project(_, child)))
       if p2.outputSet.subsetOf(child.outputSet) =>
       p1.copy(child = f.copy(child = child))
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 3f41f4b14409..8b05ba32e6ee 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
@@ -19,7 +19,6 @@ package org.apache.spark.sql.catalyst.optimizer
 
 import scala.reflect.runtime.universe.TypeTag
 
-import org.apache.spark.sql.catalyst.analysis
 import org.apache.spark.sql.catalyst.dsl.expressions._
 import org.apache.spark.sql.catalyst.dsl.plans._
 import org.apache.spark.sql.catalyst.encoders.ExpressionEncoder
@@ -370,5 +369,13 @@ class ColumnPruningSuite extends PlanTest {
     comparePlans(optimized2, expected2.analyze)
   }
 
+  test("SPARK-24696 ColumnPruning rule fails to remove extra Project") {
+    val input = LocalRelation('key.int, 'value.string)
+    val query = input.select('key).where(rand(0L) > 0.5).where('key < 10).analyze
+    val optimized = Optimize.execute(query)
+    val expected = input.where(rand(0L) > 0.5).where('key < 10).select('key).analyze
+    comparePlans(optimized, expected)
+  }
+
   // todo: add more tests for column pruning
 }
diff --git a/sql/core/src/test/scala/org/apache/spark/sql/SQLQuerySuite.scala b/sql/core/src/test/scala/org/apache/spark/sql/SQLQuerySuite.scala
index 640affc10ee5..dfb9c137b74f 100644
--- a/sql/core/src/test/scala/org/apache/spark/sql/SQLQuerySuite.scala
+++ b/sql/core/src/test/scala/org/apache/spark/sql/SQLQuerySuite.scala
@@ -2792,4 +2792,25 @@ class SQLQuerySuite extends QueryTest with SharedSQLContext {
       }
     }
   }
+
+  test("SPARK-24696 ColumnPruning rule fails to remove extra Project") {
+    withTable("fact_stats", "dim_stats") {
+      val factData = Seq((1, 1, 99, 1), (2, 2, 99, 2), (3, 1, 99, 3), (4, 2, 99, 4))
+      val storeData = Seq((1, "BW", "DE"), (2, "AZ", "US"))
+      spark.udf.register("filterND", udf((value: Int) => value > 2).asNondeterministic)
+      factData.toDF("date_id", "store_id", "product_id", "units_sold")
+        .write.mode("overwrite").partitionBy("store_id").format("parquet").saveAsTable("fact_stats")
+      storeData.toDF("store_id", "state_province", "country")
+        .write.mode("overwrite").format("parquet").saveAsTable("dim_stats")
+      val df = sql(
+        """
+          |SELECT f.date_id, f.product_id, f.store_id FROM
+          |(SELECT date_id, product_id, store_id
+          |   FROM fact_stats WHERE filterND(date_id)) AS f
+          |JOIN dim_stats s
+          |ON f.store_id = s.store_id WHERE s.country = 'DE'
+        """.stripMargin)
+      checkAnswer(df, Seq(Row(3, 99, 1)))
+    }
+  }
 }