Control apparatus for hybrid vehicles are described which reduce the heat generated by a clutch and improve the response of the hybrid vehicle when an operator requests a high degree of acceleration while starting the engine and the transmission is required to perform a shift-down. In one embodiment, when the engine is required to start while the transmission is required to perform a shift-down action, the control apparatus holds a hydraulic pressure of a releasing side clutch of the transmission at a predetermined lowest stand-by value preventing a slipping action of the releasing side clutch, while a clutch K0 between the motor and engine is placed in a slipping state, and reduces the hydraulic pressure of the releasing side clutch from the lowest stand-by value in the slipping state of the clutch K0 after the clutch K0 is placed in the fully engaged state.