In this paper, an improved method is proposed to eliminate the chattering for Sliding Mode Controller. The differential-calculus of a switching function is converged to a particular constant or the proportional term so that the chattering in transient state is eliminated in the conventional method. However, by using the improved method, it is converged to its proportional-integral term so that the chattering is eliminated in transient state and steady state both. The computer simulation for brushless DC motor speed controller is used to compare the improved method with the conventional method and to verify the useful effect of the method in this paper.