This paper develops discontinuous space vector PWM (DPWM) technique for a five-phase voltage source inverter (VSI). Space vector model of a five-phase VSI shows that there exist 32 space vectors with three different lengths forming three concentric decagons. Application of outer most and middle set of space vectors to implement Space vector PWM yield nearly sinusoidal output. Thus the proposed DPWM utilises the same set of space vectors to implement the modulation techniques. Performance is evaluated in terms of total harmonic distortion and weighted total harmonic distortion in output phase voltages. A significant reduction in switching losses is observed. The simulation results are provided to validate the concept.