In the parallel hybrid electric vehicle the load torque and speed control are the key point for efficient driving vehicle. A dynamic model of Parallel Hybrid Electric Vehicle (PHEV) derived by an induction motor (IM) and an internal combustion engine (ICE) is made using SIMULINK package in MATLAB programmer. A comparison between a conventional PID controller and a Fuzzy logic Control (FLC) method. Also, analysis of induction motor with FL at variable load torque and speed is given. Simulation results show that the proposed FLC of speed provides high- performance dynamic characteristics and is robust with regard to motor parameter variations and load change. Finally a model of PHEV powered with IM and ICE is shown to be valid for different road cycles.