The present invention provides an apparatus and method for controlling an accelerator for electric vehicles. The method comprises steps of: acquiring an actual accelerator pedal depth value and a current vehicle speed; determining a maximum output torque of motor under the current vehicle speed based on the current vehicle speed; and controlling the output torque of motor in such a way that the growth rate of the output torque higher than that of the actual accelerator pedal depth value at the beginning and then closed to that of the actual accelerator pedal depth value during the actual accelerator pedal depth value growing. The invention makes the output torque grown rapidly within the shallow range of accelerator pedal depth, while makes the output torque grown closed to that of the accelerator pedal depth within the relative deep range of accelerator pedal depth. Thus during the initial stage of acceleration, the vehicle may rapidly output a bigger torque, with an excellent dynamic response, to improve the driving comfort.