To provide a driving system for a vehicle that can fulfill both drivability and regeneration efficiency. The driving system for the vehicle includes: an engine; a motor generator connected to a wheel; a clutch that changes transmission state between a disengagement state in which the engine is disengaged from the motor generator and an engagement state in which the engine is at least slightly engaged with the motor generator; and a one-way clutch capable of transmitting only power in a forward rotational direction from the engine to the motor generator, in which, when the power of the engine is transmitted to the motor generator, a first transmission method for transmitting the power through the one-way clutch with the clutch left disengaged and a second transmission method for transmitting the power through the clutch with the clutch engaged are changed in accordance with a vehicle state.