In control apparatus and method for a hybrid vehicle, a target driving power and a target driving torque are calculates from at least one of detected values and estimated values of both of a vehicle speed and an accelerator opening angle, a target engine speed is calculated from the target driving power; and target values of motor torques of the first and second motors/generators and of an engine torque are set from at least one of revolution speed variation rates of any two revolution elements of a power transmission mechanism of the hybrid vehicle and a running resistance torque, the target engine speed, an engine speed, the target driving power, and the target driving torque in such a manner that no excessive lack in the driving torque for the target driving torque occurs and a deviation between the target engine speed and the engine speed is decreased.