A control apparatus and method for a hybrid vehicle having a first engagement element between an engine and a motor-generator and a second engagement element between the motor-generator and a drive wheel. During EV drive mode, the first engagement element disengages and the second engagement element engages to drive the vehicle using the motor-generator. During HEV drive mode, the first and second engagement elements engage to drive the vehicle using both power sources. During a third drive mode, the first engagement element engages and the second engagement element slip-engages to drive the vehicle by both power sources. When a detected temperature of the second engagement element is too high during low-speed driving, the EV drive mode is selected to enhance durability of the second engagement element.