An apparatus for controlling a hybrid drive system of a motor vehicle having an engine operated by combustion of a fuel, a motor/generator, and a transmission disposed between a drive wheel of the vehicle and an assembly of said engine and said motor/generator, said apparatus comprising torque reduction control means for reducing an input torque of said transmission during a shifting action of said transmission, when a predetermined torque reducing condition is satisfied, said apparatus being characterized in that said torque reduction control means comprises:
- first torque reducing means for reducing said input torque of said transmission by controlling said engine;
- second torque reducing means for reducing said input torque of said transmission by controlling said motor/generator;
- and
- torque reduction mode selecting means for enabling at least one of said first and second torque reducing means to operate to reduce said input torque, according to a predetermined selecting condition.