This paper presents a speed control method for the capacitor-run induction motor. The equivalent circuit of the motor is analyzed using the forward(Positive sequence) and backward(negative sequence) components, and simple circuit equations are obtained. Simulations for the speed control are performed by adjusting the voltage magnitude of the auxiliary winding. A prototype system has been implemented which consists of an inverter and a controller with TMS320C31 digital signal processor. The experimental results using 1/4hp capacitor-run induction motor show a good agreement with analyses.