A control apparatus for an engine and an automatic transmission controls a starting timing, a terminating timing, or methods of torque reduction of the engine during gear shifts. Using stored information such as a turbine speed signal, a gear shift signal, a degree to which a throttle valve is opened, a vehicle speed, an engine speed and so on, the control apparatus calculates an appropriate torque reduction which is performed by either retarding ignition timing or cutting fuel supplied to fuel injection valves. According to one embodiment of the invention, by detecting a variation ratio or differential value of turbine speed, a period of the torque reduction is started, ended, and kept within a proper timing. According to another embodiment of the invention, based on a "chasing" state of an input torque of the transmission against the variation of engine load, the timing of torque reduction is changed. Finally, according to yet another embodiment of the invention, a light preceding torque reduction is performed prior to a more significant torque reduction, but only when shocks due to the gear shift tend to occur.