CONTROL DEVICE FOR VEHICLE, CONTROL METHOD FOR VEHICLE, AND PROGRAM

A control device for a vehicle is used in a vehicle that travels by transmitting a driving force from an engine to a drive wheel via a clutch. The control device includes a controller configured to perform an engine stop control in which, when an accelerator is not operated while the vehicle is traveling, a supply of a fuel to the engine is stopped and the clutch is released to enter a driving force cut-off state; a first control in which, when the accelerator is operated while the engine has a rotation speed higher than a first rotation speed in the driving force cut-off state, the engine is activated and the clutch has a torque transmission capacity; and a second control in which, when the accelerator is operated while the engine has the rotation speed equal to or lower than the first rotation speed in the driving force cut-off state, the engine is activated after the engine stops and the clutch has the torque transmission capacity after the engine is activated.