Vehicle drive system

A controller 10 calculates a target drive force based on an accelerator pedal operation amount and a vehicle speed. A delay speed ratio which varies with a delay with respect to the actual speed ratio is calculated by applying a delay process on the actual speed ratio of the transmission 2 . While the actual speed ratio is undergoing variation, a target engine torque is calculated by dividing the target drive force by the delay speed ratio. The torque of the engine 1 is controlled so that the torque of the engine 1 coincides with the target engine torque. In this manner, it is possible to suppress shift shocks by eliminating sharp variation of the target engine torque during actual speed change.