The invention provides a method and a device for controlling the acceleration of an accelerator of a four-wheeled electric vehicle. The method comprises the following step: controlling the power output of the whole vehicle by using the summation of the output torque of a main drive motor and the output torque of an auxiliary drive motor, wherein the output torque T0 of the auxiliary drive motor isdetermined according to the following method: determining a torque calculation factor which is an accumulated value of the acceleration of the accelerator; determining a maximum output torque T of the auxiliary drive motor at a current speed; and calculating the output torque T0 of the auxiliary drive motor according to the torque calculation factor and the maximum output torque T of the auxiliary drive motor at the current speed, wherein the output torque T0 of the auxiliary drive motor is changed within the range of 0-T and can be increased along with the increase of the torque calculationfactor. In the method and the device for controlling the acceleration of the accelerator of the four-wheeled electric vehicle, because the torque calculation factor is calculated by adopting the acceleration accumulation of the accelerator, the mode of the output torque of the auxiliary drive motor is controlled, and the invention has the advantages of high response speed and high power output precision.