In a system for integrally controlling an automatic transmission and an engine, wherein hydraulic control devices are operated and engagement of frictionally engaging devices are selectively switched, to thereby achieve a shifting, and an engine torque is changed during shifting, a rate of change with time of oil pressure supplied to the frictionally engaging devices is temporarily reduced in association with the completion of the engine torque change. With this arrangement, rise of an output shaft torque generated at the time of completion of the engine torque change can be controlled, so that satisfactory shift characteristics can be obtained.