A control device for a vehicle, the vehicle including: an input shaft to which torque output by an internal combustion engine is transmitted; an output shaft for outputting the torque to drive wheels; a continuously variable transmission; a transmission mechanism; and a clutch mechanism, the continuously variable transmission, the transmission mechanism, and the clutch mechanism being provided between the input shaft and the output shaft, the clutch mechanism being configured to selectively switch between a first transmission path and a second transmission path, the first transmission path transmitting the torque from the internal combustion engine to the drive wheels via the continuously variable transmission, and the second transmission path transmitting the torque from the internal combustion engine to the drive wheels via the transmission mechanism, the clutch mechanism including one clutch and another clutch, the other clutch being provided in series with respect to the one clutch, the other clutch being provided closer to the output shaft side than the one clutch (Cl), the clutch mechanism being configured such that transmission of the torque to the drive wheels via the transmission mechanism is blocked in the case where at least one of the one clutch and the other clutch is disengaged, characterized by the control device comprising an electronic control unit configured to engage either the one clutch or the other clutch in accordance with an operation state of the vehicle in the case where the torque is transmitted from the internal combustion engine to the drive wheels via the continuously variable transmission, wherein the electronic control unit is further configured to: engage either the one clutch or the other clutch in the case where the torque is transmitted from the internal combustion engine to the drive wheels via the continuously variable transmission and a speed of the internal combustion engine is at most equal to a specified speed, or engage either the one clutch or the other clutch in the case where the torque is transmitted from the internal combustion engine to the drive wheels via the continuously variable transmission and a throttle opening degree is at least equal to a specified throttle opening degree. an input shaft to which torque output by an internal combustion engine is transmitted; an output shaft for outputting the torque to drive wheels; a continuously variable transmission; a transmission mechanism; and a clutch mechanism, the continuously variable transmission, the transmission mechanism, and the clutch mechanism being provided between the input shaft and the output shaft, the clutch mechanism being configured to selectively switch between a first transmission path and a second transmission path, the first transmission path transmitting the torque from the internal combustion engine to the drive wheels via the continuously variable transmission, and the second transmission path transmitting the torque from the internal combustion engine to the drive wheels via the transmission mechanism, the clutch mechanism including one clutch and another clutch, the other clutch being provided in series with respect to the one clutch, the other clutch being provided closer to the output shaft side than the one clutch (Cl), the clutch mechanism being configured such that transmission of the torque to the drive wheels via the transmission mechanism is blocked in the case where at least one of the one clutch and the other clutch is disengaged, engage either the one clutch or the other clutch in the case where the torque is transmitted from the internal combustion engine to the drive wheels via the continuously variable transmission and a speed of the internal combustion engine is at most equal to a specified speed, or engage either the one clutch or the other clutch in the case where the torque is transmitted from the internal combustion engine to the drive wheels via the continuously variable transmission and a throttle opening degree is at least equal to a specified throttle opening degree.