Brushless DC motors are widely used for many applications like industrial automation, home appliances and medical equipment because of their low EMI ,high efficiency, commutation done on windings and high reliability. This paper presents the simulation results of fuzzy logic and conventional PI controller for the position sensorless speed control of permanent magnet brushless DC motor. It is difficult to tune the parameter and get satisfied control characteristics by using conventional controller. Furthermore PI controller requires accurate mathematical model, as the Fuzzy logic controller has the ability to obtain satisfied control characteristics and it is easy for computing. The experiment results show the comparison of a fuzzy logic controller that has better performance than PI controller. The modeling, control and simulation of the BLDC motor have been done using the software package MATLAB/SIMULINK.