In a hybrid vehicle, on a start of an engine, when an engine water temperature is low and there is a need of advancing open and close timings of an intake valve from their most delayed positions, electric power is supplied to a WT motor either via a first route or via a second route. Even when the state of charge of a low voltage battery is very low and insufficient, the required electric power is supplied from a DC-DC converter to the VVT motor without passing through the low voltage battery. On the start of the engine, such start control ensures an adequate change of the open and close timings of the intake valve set in the stop state of the engine.