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 33800c40badf..9e1ccc861aed 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
@@ -145,6 +145,34 @@ trait InvokeLike extends Expression with NonSQLExpression {
       }
     }
   }
+
+  final def findMethod(cls: Class[_], functionName: String, argClasses: Seq[Class[_]]): Method = {
+    // Looking with function name + argument classes first.
+    try {
+      cls.getMethod(functionName, argClasses: _*)
+    } catch {
+      case _: NoSuchMethodException =>
+        // For some cases, e.g. arg class is Object, `getMethod` cannot find the method.
+        // We look at function name + argument length
+        val m = cls.getMethods.filter { m =>
+          m.getName == functionName && m.getParameterCount == arguments.length
+        }
+        if (m.isEmpty) {
+          sys.error(s"Couldn't find $functionName on $cls")
+        } else if (m.length > 1) {
+          // More than one matched method signature. Exclude synthetic one, e.g. generic one.
+          val realMethods = m.filter(!_.isSynthetic)
+          if (realMethods.length > 1) {
+            // Ambiguous case, we don't know which method to choose, just fail it.
+            sys.error(s"Found ${realMethods.length} $functionName on $cls")
+          } else {
+            realMethods.head
+          }
+        } else {
+          m.head
+        }
+    }
+  }
 }
 
 /**
@@ -236,7 +264,7 @@ case class StaticInvoke(
   override def children: Seq[Expression] = arguments
 
   lazy val argClasses = ScalaReflection.expressionJavaClasses(arguments)
-  @transient lazy val method = cls.getDeclaredMethod(functionName, argClasses : _*)
+  @transient lazy val method = findMethod(cls, functionName, argClasses)
 
   override def eval(input: InternalRow): Any = {
     invoke(null, method, arguments, input, dataType)
@@ -326,31 +354,7 @@ case class Invoke(
 
   @transient lazy val method = targetObject.dataType match {
     case ObjectType(cls) =>
-      // Looking with function name + argument classes first.
-      try {
-        Some(cls.getMethod(encodedFunctionName, argClasses: _*))
-      } catch {
-        case _: NoSuchMethodException =>
-          // For some cases, e.g. arg class is Object, `getMethod` cannot find the method.
-          // We look at function name + argument length
-          val m = cls.getMethods.filter { m =>
-            m.getName == encodedFunctionName && m.getParameterCount == arguments.length
-          }
-          if (m.isEmpty) {
-            sys.error(s"Couldn't find $encodedFunctionName on $cls")
-          } else if (m.length > 1) {
-            // More than one matched method signature. Exclude synthetic one, e.g. generic one.
-            val realMethods = m.filter(!_.isSynthetic)
-            if (realMethods.length > 1) {
-              // Ambiguous case, we don't know which method to choose, just fail it.
-              sys.error(s"Found ${realMethods.length} $encodedFunctionName on $cls")
-            } else {
-              Some(realMethods.head)
-            }
-          } else {
-            Some(m.head)
-          }
-      }
+      Some(findMethod(cls, encodedFunctionName, argClasses))
     case _ => None
   }
 
diff --git a/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/expressions/ObjectExpressionsSuite.scala b/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/expressions/ObjectExpressionsSuite.scala
index 14b72f5132bf..7bcb2cd75c85 100644
--- a/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/expressions/ObjectExpressionsSuite.scala
+++ b/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/expressions/ObjectExpressionsSuite.scala
@@ -638,8 +638,22 @@ class ObjectExpressionsSuite extends SparkFunSuite with ExpressionEvalHelper {
     val clsType = ObjectType(classOf[ConcreteClass])
     val obj = new ConcreteClass
 
+    val input = (1, 2)
     checkObjectExprEvaluation(
-      Invoke(Literal(obj, clsType), "testFunc", IntegerType, Seq(Literal(1))), 0)
+      Invoke(Literal(obj, clsType), "testFunc", IntegerType,
+        Seq(Literal(input, ObjectType(input.getClass)))), 2)
+  }
+
+  test("SPARK-35288: static invoke should find method without exact param type match") {
+    val input = (1, 2)
+
+    checkObjectExprEvaluation(
+      StaticInvoke(TestStaticInvoke.getClass, IntegerType, "func",
+        Seq(Literal(input, ObjectType(input.getClass)))), 3)
+
+    checkObjectExprEvaluation(
+      StaticInvoke(TestStaticInvoke.getClass, IntegerType, "func",
+        Seq(Literal(1, IntegerType))), -1)
   }
 }
 
@@ -652,10 +666,22 @@ class TestBean extends Serializable {
     assert(i != null, "this setter should not be called with null.")
 }
 
+object TestStaticInvoke {
+  def func(param: Any): Int = param match {
+    case pair: Tuple2[_, _] =>
+      pair.asInstanceOf[Tuple2[Int, Int]]._1 + pair.asInstanceOf[Tuple2[Int, Int]]._2
+    case _ => -1
+  }
+}
+
 abstract class BaseClass[T] {
-  def testFunc(param: T): T
+  def testFunc(param: T): Int
 }
 
-class ConcreteClass extends BaseClass[Int] with Serializable {
-  override def testFunc(param: Int): Int = param - 1
+class ConcreteClass extends BaseClass[Product] with Serializable {
+  override def testFunc(param: Product): Int = param match {
+    case _: Tuple2[_, _] => 2
+    case _: Tuple3[_, _, _] => 3
+    case _ => 4
+  }
 }