In this paper, we study a new current control method for Permanent Magnet Synchronous Motor (PMSM). First, we introduce a modified torque modulation for a velocity control loop. Then, we design a nonlinear current controller based on Lyapunov redesign in the stationary reference (α,β) frame. We show that the nonlinear current control guarantees uniform convergence of current tracking errors in finite-time. Further, uniform convergence of velocity tracking error in finite-time is also proved using the input-to-state stability (ISS). The proposed method is applied to velocity control of PMSM. We present simulation results using co-simulation with AMESim PMSM model and MATLAB/Simulink to validate the performance of the proposed method.