Nowadays, multiphase ac machine drives are taken into consideration for several applications because they offer many advantages when in contrast with their three-phase equivalent. Therefore, in various applications, there is expanding in the achievement of the five-phase machine in electric drive systems. This paper uses mathematical modelling to demonstrate the dynamic simulation of a five-phase Synchronous Reluctance Motor SynRM driven by a five-phase current-controlled space vector PWM inverter. The theory of reference frame has been employed to get the transformation of five-phase SynRM voltage equations for removing the inductances angular dependency. The pulses for an inverter are created by applying the five-phase Space Vector Pulse Width Modulation (SVPWM) method. Then, for a fivephase SynRM, an indirect rotor flux-oriented vector control technique is constructed. Furthermore, the control block diagram is also presented in this paper with performance behaviour discussion under different load conditions and variance reference speed. The equivalent controllers are appropriately proposed to provide independent torque control. Finally, the obtained simulation results are typical and demonstrated by using Matlab/Simulink.