Abstract: A global fast terminal sliding mode variable structure control methodology for a class of uncertain MIMO linear systems is proposed.By using a special kind of nonsingular state transformation,the corresponding nonlinear terminal sliding mode hypersurface and variable structure control law are designed.The system states can be driven to converge to the terminal sliding hypersurface in finite time,then retain on the sliding hypersurface and reach the equilibrium point in finite time according to the motion law of global fast terminal sliding mode with higher convergence speed than ordinary terminal sliding mode.Simulation results prove the validity of the method.