This paper proposes a Fuzzy Logic Controller for Maximum Power Point Tracking of a case study wind energy conversion system (WECS).The system consists of a standalone fixed pitch, variable speed wind turbine directly coupled to a permanent magnet synchronous generator (PMSG), an uncontrolled diode rectifier, a dc-dc boost converter, a fuzzy logic based controller and a load. For a given wind speed, there is an optimum speed of rotation that gives maximum power. The aim of the maximum power point tracking controller is to drive the WECS at the optimum speed that corresponds to maximum power at any wind speed. The designed Fuzzy Logic Controller determines the duty cycle D that yields optimum speed for maximum power extraction from the WECS for various wind speeds. It then applies this D to the DC-DC boost converter to control the speed of rotation of the PMSG to track maximum power point curve. Simulation results show that the designed system is able to extract maximum power for varying wind speeds