diff --git a/cpp/src/gandiva/codegen/llvm_generator.cc b/cpp/src/gandiva/codegen/llvm_generator.cc
index fe0dae1c3c87a..fb862ae10ea44 100644
--- a/cpp/src/gandiva/codegen/llvm_generator.cc
+++ b/cpp/src/gandiva/codegen/llvm_generator.cc
@@ -523,6 +523,22 @@ void LLVMGenerator::Visitor::Visit(const LiteralDex &dex) {
       break;
     }
 
+    case arrow::Type::DATE64:
+      value = types->i64_constant(boost::get<int64_t>(dex.holder()));
+      break;
+
+    case arrow::Type::TIME32:
+      value = types->i32_constant(boost::get<int32_t>(dex.holder()));
+      break;
+
+    case arrow::Type::TIME64:
+      value = types->i64_constant(boost::get<int64_t>(dex.holder()));
+      break;
+
+    case arrow::Type::TIMESTAMP:
+      value = types->i64_constant(boost::get<int64_t>(dex.holder()));
+      break;
+
     default:
       DCHECK(0);
   }
diff --git a/cpp/src/gandiva/codegen/tree_expr_builder.cc b/cpp/src/gandiva/codegen/tree_expr_builder.cc
index 9f81a8f2f26a2..5c56454215b27 100644
--- a/cpp/src/gandiva/codegen/tree_expr_builder.cc
+++ b/cpp/src/gandiva/codegen/tree_expr_builder.cc
@@ -78,6 +78,14 @@ NodePtr TreeExprBuilder::MakeNull(DataTypePtr data_type) {
     case arrow::Type::STRING:
     case arrow::Type::BINARY:
       return std::make_shared<LiteralNode>(data_type, LiteralHolder(empty), true);
+    case arrow::Type::DATE64:
+      return std::make_shared<LiteralNode>(data_type, LiteralHolder((int64_t)0), true);
+    case arrow::Type::TIME32:
+      return std::make_shared<LiteralNode>(data_type, LiteralHolder((int32_t)0), true);
+    case arrow::Type::TIME64:
+      return std::make_shared<LiteralNode>(data_type, LiteralHolder((int64_t)0), true);
+    case arrow::Type::TIMESTAMP:
+      return std::make_shared<LiteralNode>(data_type, LiteralHolder((int64_t)0), true);
     default:
       return nullptr;
   }