This paper proposes a topology of two-level qZ- source multiphase inverter based on maximum constant boost control algorithm which can be used to power multiphase machines. Indeed, these kinds of machines have many advantages compared to their counterpart three-phase machines, which are actually used extensively in many industries. On the other side, the qZ-source inverter has also many advantages compared to the conventional inverters, mainly high boosting capability, more freedom degrees of switching states and less voltage and current stresses of switches can be obtained. Such advantages among others make it to be a good candidate in many industrial applications. Thus, the present paper proposes the topology of two level five-phase qZ-source inverter, where the main aim is to be used for driving the five-phase machine and consequently benefiting from the merits of the advantages of both topologies of the machine and the inverter in building one combined topology. The simulations results obtained in this paper prove the quality of the improved performances of the proposed topology in comparison with previous works which can be a promising solution in many industrial applications based on the afore mentioned advantages.