This paper presents the speed control of brushless dc motor drive employing sliding mode control. In order to improve the dynamic performance of the speed control of a Brushless DC Motor (BLDCM), a strategy of sliding mode control with Feed-forward Exponential Reaching Law, compared with the traditional PID control under Motor mathematical model given, the control performance was improved greatly. The simulation results showed that the control strategy has good performance with fast response, no over-shoot, and improved the robustness of Brushless DC Motor.