In a control system, a transfer is connected to a rotation member between a driving power source and primary driving wheels and distributes dynamic power of the driving power source to secondary drive wheels. A driving power transmission shaft transmits the dynamic power of the driving power source distributed by the transfer to the secondary drive wheels. A connection-disconnection mechanism is disposed between the rotation member and the driving power transmission shaft. First and second clutches are disposed respectively between the driving power transmission shaft and right and left wheels of the secondary drive wheels. The electronic control unit is configured, when switching from a two-wheel-drive running state to a four-wheel-drive running state on the basis of a vehicle running state, to generate a transmission torque in the first clutch or the second clutch after controlling the connection-disconnection mechanism to engage the connection-disconnection mechanism.