The induction motors has been widely used in various industries due to its robustness maintenance free operation, better efficiency and lower cost. In different industries, wide range of speed control with fast torque response regardless of load variation is required this can be achieved very efficiently for induction motor using Field Oriented Control (FOC). This paper presents a comparative study of Z-N method and Genetic Algorithm method (GA) to determine the optimal Proportional-Integral-Derivative (PID) controller parameters, for speed control of a Field Oriented Control (FOC) induction motor; the GA algorithm has been programmed and implemented in MATLAB. Z-N method and trial and error and open loop IM has been modelled in MATLAB (SIMULINK).