Hybrid Electric Vehicle and Method of Controlling the Same

A method of controlling a hybrid electric vehicle including an engine and a first motor connected to main drive wheels and a second motor connected to auxiliary drive wheels includes determining a required torque, in response to a predetermined condition being satisfied, determining a first torque that the second motor is to continuously output based on the required torque and a vehicle speed and determining a second torque that the second motor is to discontinuously output in order to compensate for acceleration loss in a situation in which the acceleration loss occurs based on a state of an engine clutch disposed between the engine and the first motor, a state of a transmission, or the required torque, and determining a final torque of the second motor based on the first and second torques.