A method of controlling an accelerator of a four-wheel drive electric vehicle, comprising the following steps: controlling power output of the vehicle by a sum of an output torque of a main drive motor and an output torque of an auxiliary drive motor with the output torque of the main drive motor being determined by a depressing degree (γ) of an accelerator pedal, wherein the output torque ( T 0) of the auxiliary drive motor is determined by: obtaining a torque calculating factor being a cumulative value of an acceleration ( a) of the accelerator; determining a maximum output torque of the auxiliary drive motor at a current speed of the vehicle; and calculating the output torque ( T 0) of the auxiliary drive motor varying between 0 and T based on the torque calculating factor and the maximum output torque of the auxiliary drive motor at the current speed with the output torque ( T 0) of the auxiliary drive motor being increased as the torque calculating factor increases; and wherein the step of determining the torque calculating factor comprising the following steps: obtaining a start depressing degree (γ 1) of the accelerator pedal and an end depressing degree (γ 0) of the accelerator pedal in a period (Δ T) of time; calculating the accelerator acceleration ( a) based on a formula of: a = / Δ T γ 0 − γ 1; and obtaining the torque calculating factor by accumulating the accelerations ( a) of the accelerator calculated in a continuous plurality of the periods. controlling power output of the vehicle by a sum of an output torque of a main drive motor and an output torque of an auxiliary drive motor with the output torque of the main drive motor being determined by a depressing degree (γ) of an accelerator pedal, wherein the output torque ( T 0) of the auxiliary drive motor is determined by: obtaining a torque calculating factor being a cumulative value of an acceleration ( a) of the accelerator; determining a maximum output torque of the auxiliary drive motor at a current speed of the vehicle; and calculating the output torque ( T 0) of the auxiliary drive motor varying between 0 and T based on the torque calculating factor and the maximum output torque of the auxiliary drive motor at the current speed with the output torque ( T 0) of the auxiliary drive motor being increased as the torque calculating factor increases; and obtaining a torque calculating factor being a cumulative value of an acceleration ( a) of the accelerator; determining a maximum output torque of the auxiliary drive motor at a current speed of the vehicle; and calculating the output torque ( T 0) of the auxiliary drive motor varying between 0 and T based on the torque calculating factor and the maximum output torque of the auxiliary drive motor at the current speed with the output torque ( T 0) of the auxiliary drive motor being increased as the torque calculating factor increases; and obtaining a start depressing degree (γ 1) of the accelerator pedal and an end depressing degree (γ 0) of the accelerator pedal in a period (Δ T) of time; calculating the accelerator acceleration ( a) based on a formula of: a = / Δ T γ 0 − γ 1; and obtaining the torque calculating factor by accumulating the accelerations ( a) of the accelerator calculated in a continuous plurality of the periods.