Increasing of consumer electronic devices (TVs, computers) and industrial electronic devices (variable speed drives, high efficiency lighting), use on electrical networks, generate pollution through harmonic currents and voltage. The active three-phase shunt filter is a modern solution of decontamination of three-phase power systems. A good clean-up requires a good design of the active filter and a good control. Indeed, the capacity and adaptability of the active filter lies in the quality of the inverter switch of. In this paper, a comparative study of the command by pulse width modulation (PWM) and hysteresis, of a cross over three-phase shunt with voltage structure is performed. The study shows that the command by hysteresis gives best results with regard to the reduction of harmonic pollution and the quality of the network.