An intake variable valve timing mechanism (VVT) that collectively changes an intake valve close timing as a close timing of a plurality of intake valves and a control device that controls an engine including a plurality of injectors and the intake VVT are provided. When a specified engine stop condition is satisfied, a fuel cut is performed to stop a fuel supply into a plurality of cylinders by the injector. After the fuel cut, the intake VVT is controlled such that a retarded amount of the intake valve close timing immediately before a stop of a stop-time compression stroke cylinder as a cylinder stopped in a compression stroke from intake bottom dead center is larger than a retarded amount of the intake valve close timing immediately before a stop of a stop-time expansion stroke cylinder as a cylinder stopped in an expansion stroke from the intake bottom dead center.