As for traditional sliding mode control (SMC) with linear sliding surface and the tracking error can’t convergent to zero in finite time, fast terminal sliding mode control (FTSMC) designed with introduction nonlinear function into sliding hyper-plane, which makes tracking error converge to zero in finite time. A global fast terminal sliding mode control (GFTSMC) was designed with SMC and FTSMC, the sliding surface of GFTSMC was designed and the control law was deduced, also the convergence time was computed and stability proved by Lyapunov theory. With simulation, the optimal sliding mode parameters was selected and applied this control strategy for wind energy conversion system (WECS), the simulation result shows this control system can realize optimal power tracking control for wind energy conversion system.