In this paper Quasi Z-source network based control scheme is proposed with the help of Fuzzy Logic Control, which results the improvement in utility ratio of DC voltage, extends the range of speed and reduces torque ripples. As compared to other electrical machines, Brushless DC machine is becoming most popular in selection of drive technology. Reason behind this popularity is its numerous advantages like low maintenance, high efficiency, high power density and robustness. The drawbacks of FSTP BLDC motor are studied and simulations for QZFSTP BLDC were designed in MATLAB Simulink. During the investigation, a novel topology is presented which is combination of quasi Z-source converter and FSTP drive circuit. The Simulation results are obtained and discussed in that paper.