A driving force controller for an electric vehicle calculates the optimal driving force of each driving wheel based on a formula in response to the detected wheel acceleration and the difference between the wheel speed and the vehicle speed, or alternatively calculates the optimal driving force of each driving wheel based on fuzzy theory by using predetermined membership functions pertinent to the wheel acceleration, speed difference and driving force in response to the detected wheel acceleration and speed difference. The driving force controller thereby controls the driving force of the driving wheel in accordance with the calculated driving force, and prevents slipping of the driving wheel.