In this thesis, performance of Permanent magnet synchronous motor (PMSM) drive is analysed. For producing constant torque PMSM requires sinusoidal stator currents. The thesis presents a mathematical analysis for the operation of the motor within the dq axis model. Because of high-efficiency, fast dynamic response and compact size, PMSM has become popular in industrial applications. There are various control strategies of speed control of Permanent Magnet Synchronous Motor. In this work, the strategy used is vector control method for speed control of PMSM motor drive. The vector control method consists of PMSM motor, inverter, speed regulator and coordinate transformation to build the PMSM drive for speed control. Speed regulation of the PMSM is performed through the designing of Proportional Integral (PI), Proportional integral derivative (PID), Sliding mode controller and Sliding mode controller plus PID controller as a speed regulator which is the part of the PMSM drive. Sliding-Mode controller (SMC) scheme is designed which eliminates the dependency of machine's parameters and effect of external disturbances, for speed control of PMSM drive system. Also, SMC plus PID controller is designed which gives the better result compare to the SMC. Work was carried out through simulation in the MATLAB environment.