In this paper, a new strategy of speed vector control is proposed for reducing the torque ripple of a Switched Reluctance Motor (SRM). The SRM is characterized by its simple manufacturing, robustness, reliability and high-speed operation. However, the SRM also presents high torque ripple and acoustic noise. The proposed vector control strategy is implemented in the stationary reference frame and it is performed with three PI controllers. Furthermore, the reference voltage vector is synthesized using a space vector modulation technique for an asymmetric half-bridge converter. The proposed system was validated through simulations performed in SimPowerSystems of Matlab/Simulink. It was compared the simulation results of the proposed strategy with a traditional speed control method verifying its good performance.