With the advances of power electronic technologies and permanent magnet materials, there have been great interest to direct driven permanent magnet synchronous generators (PMSG) among wind turbine manufactures. Since PMSG directly connected to the wind turbine, controlling of the power electronic converters has vital role at gearless connection. This paper presents grid side converter (GSC) control algorithm for a grid connected PMSG used in wind power conversion system. In developed system operation of the GSC are controlled by using vector control algorithm and a PLL algorithm is employed for compensation of phase difference between grid and GSC voltage. Operation of the system has been verified through simulation.