Abstract: The Matrix Converter is an array of controlled semiconductor switches that connects directly the three phase source to three phase load. In the Matrix Converter there is no dc link for ac/ac conversion. MC-based UPFC (MC-UPFC) has reduced capacitor loss, volume, cost. sliding mode control techniques is used in the principles of direct power control (DPC) which is established for an MC-UPFC model as consists of input filter. Simulation results of DPC controllers for MC-UPFC provide no cross coupling in dynamic and steady state response, fast response time and decoupled active and reactive power control. The Proposing System matrix converter- based UPFC using a direct power control approach (DPC-MC) based on an MC-UPFC dynamic model. The design UPFCs, presenting robust behavior to parameter variations and to disturbances.