A control apparatus and method for controlling a hybrid vehicle is arranged to prevent shock and to minimize adverse influence on lag and fuel consumption when one of a start/stop control of an engine and a shift control of an automatic transmission is requested while the other control is occurring. The control apparatus includes an engine, a motor/generator, a first clutch, an automatic transmission, an integrated controller, an AT controller and an engine/transmission coordinate controlling section. When a second control request is generated during the first control, the engine/transmission coordinate controlling section starts the second control at a request timing when a condition does not exist such that a shock does not exceed an acceptable level and starts the second control at a later timing when the condition exists such that the shock would exceed the acceptable level if the second control is started at the request timing.