Induction Motors  ( IM )  play the significant role in industrial and domestic applications. Inductions motors are widely used for its simple and rugged construction, relatively cheap, little maintenance, high efficiency and self-starting torque. Induction motors are classified as a slip ring induction motor and squirrel cage induction motor. Among the two types of induction motors squirrel cage induction motor is preferred for its simple construction and easy control. Since it is widely used in many applications, it plays a major role in grid load. Therefore, even a small increment in the efficiency by providing better control or optimum design can result in a substantial saving in the extended period. The voltage and frequency input to the induction motor are to be controlled in order to obtain the desired speed response. The speed control is possible by varying supply frequency using a voltage source inverter while keeping voltage to frequency ratio as a constant. The induction motor speed response is analyzed with various controllers. Initially, the system is analyzed with the Proportional Integral  ( PI )  based speed controller. To enhance the dynamic performance of the induction motor drive, the Fuzzy Logic Controller  ( FLC )  is used in this project.   The main objective of this project is to develop a fuzzy logic based controller to control the speed of the induction motor. Speed error is given as input to the proportional integral controller, and speed error and speed error variation are given as input to the fuzzy logic controller. The controller output controls the reference of pulse width modulation. Hence the fundamental frequency and voltage of inverter output can be varied to control the motor speed. The performance of the PI and fuzzy logic controller are evaluated using simulation results in Simulink.