diff --git a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/objects/objects.scala b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/objects/objects.scala
index 6d251b6d1007d..68a55f7f11696 100644
--- a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/objects/objects.scala
+++ b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/objects/objects.scala
@@ -50,6 +50,7 @@ trait InvokeLike extends Expression with NonSQLExpression with ImplicitCastInput
 
   def propagateNull: Boolean
 
+  override def foldable: Boolean = children.forall(_.foldable) && deterministic
   protected lazy val needNullCheck: Boolean = needNullCheckForIndex.contains(true)
   protected lazy val needNullCheckForIndex: Array[Boolean] =
     arguments.map(a => a.nullable && (propagateNull ||
diff --git a/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/optimizer/ConstantFoldingSuite.scala b/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/optimizer/ConstantFoldingSuite.scala
index ae644c1110740..6f4f70423357b 100644
--- a/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/optimizer/ConstantFoldingSuite.scala
+++ b/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/optimizer/ConstantFoldingSuite.scala
@@ -21,10 +21,13 @@ import org.apache.spark.sql.catalyst.analysis.{EliminateSubqueryAliases, Unresol
 import org.apache.spark.sql.catalyst.dsl.expressions._
 import org.apache.spark.sql.catalyst.dsl.plans._
 import org.apache.spark.sql.catalyst.expressions._
+import org.apache.spark.sql.catalyst.expressions.objects.{Invoke, NewInstance, StaticInvoke}
 import org.apache.spark.sql.catalyst.plans.PlanTest
 import org.apache.spark.sql.catalyst.plans.logical.{LocalRelation, LogicalPlan}
 import org.apache.spark.sql.catalyst.rules.RuleExecutor
+import org.apache.spark.sql.catalyst.util.GenericArrayData
 import org.apache.spark.sql.types._
+import org.apache.spark.unsafe.types.ByteArray
 
 class ConstantFoldingSuite extends PlanTest {
 
@@ -299,4 +302,41 @@ class ConstantFoldingSuite extends PlanTest {
 
     comparePlans(optimized, correctAnswer)
   }
+
+  test("SPARK-37907: InvokeLike support ConstantFolding") {
+    val originalQuery =
+      testRelation
+        .select(
+          StaticInvoke(
+            classOf[ByteArray],
+            BinaryType,
+            "lpad",
+            Seq(Literal("Spark".getBytes), Literal(7), Literal("W".getBytes)),
+            Seq(BinaryType, IntegerType, BinaryType),
+            returnNullable = false).as("c1"),
+          Invoke(
+            Literal.create("a", StringType),
+            "substring",
+            StringType,
+            Seq(Literal(0), Literal(1))).as("c2"),
+          NewInstance(
+            cls = classOf[GenericArrayData],
+            arguments = Literal.fromObject(List(1, 2, 3)) :: Nil,
+            inputTypes = Nil,
+            propagateNull = false,
+            dataType = ArrayType(IntegerType),
+            outerPointer = None).as("c3"))
+
+    val optimized = Optimize.execute(originalQuery.analyze)
+
+    val correctAnswer =
+      testRelation
+        .select(
+          Literal("WWSpark".getBytes()).as("c1"),
+          Literal.create("a", StringType).as("c2"),
+          Literal.create(new GenericArrayData(List(1, 2, 3)), ArrayType(IntegerType)).as("c3"))
+        .analyze
+
+    comparePlans(optimized, correctAnswer)
+  }
 }
diff --git a/sql/core/src/test/scala/org/apache/spark/sql/CharVarcharTestSuite.scala b/sql/core/src/test/scala/org/apache/spark/sql/CharVarcharTestSuite.scala
index 10eacdb08c424..6ade7a7c99e37 100644
--- a/sql/core/src/test/scala/org/apache/spark/sql/CharVarcharTestSuite.scala
+++ b/sql/core/src/test/scala/org/apache/spark/sql/CharVarcharTestSuite.scala
@@ -332,8 +332,8 @@ trait CharVarcharTestSuite extends QueryTest with SQLTestUtils {
       sql(s"CREATE TABLE t(c STRUCT<c: $typeName(5)>) USING $format")
       sql("INSERT INTO t SELECT struct(null)")
       checkAnswer(spark.table("t"), Row(Row(null)))
-      val e = intercept[SparkException](sql("INSERT INTO t SELECT struct('123456')"))
-      assert(e.getCause.getMessage.contains(s"Exceeds char/varchar type length limitation: 5"))
+      val e = intercept[RuntimeException](sql("INSERT INTO t SELECT struct('123456')"))
+      assert(e.getMessage.contains(s"Exceeds char/varchar type length limitation: 5"))
     }
   }