A control apparatus and method of controlling a hybrid vehicle are taught herein. The vehicle selectively switches between an EV mode wherein the vehicle travels by only a driving force produced by the motor/generator when an accelerator opening is less than or equal to an engine-stop line or a HEV mode wherein the vehicle travels by at least a driving force produced by the engine the accelerator opening exceeds the engine-stop line. A transition from the HEV mode to the EV mode is executed when the accelerator opening becomes less than or equal to the engine-stop line during the HEV mode and a given delay time has expired. The delay time is set to a shorter time as an accelerator return speed decreases.