A method and an apparatus for controlling output torque of a motor for an electric vehicle in uphill mode, the method comprises: detecting a tilt angle value U, a current vehicle speed value V and an accelerator-pedal travel value Gain of the vehicle, determining whether the vehicle is in uphill mode or not, and if the result is positive, then calculating a minimum torque T1 required for preventing the vehicle from slipping backward under the tilt angle value 0 and the current vehicle speed value V, obtaining a maximum output torque T2, calculating an output torque T of the motor based on T1, T2 and Gain, and controlling the motor to output the calculated output torque T. With the method and apparatus in accordance with the present invention, when the electric vehicle is in uphill mode, even if the accelerator-pedal travel value is zero, the vehicle will not slip backward.