To study the motion blur of liquid crystal display more precisely, the smooth pursuit eye tracking with sinusoidal patterns is investigated based on the eye movement tracking apparatus. The experiment tests the smooth pursuit eye tracking using nine kinds of sinusoidal images with different spatial frequencies at four kinds of motion velocities. The results show that the eye tracking velocity is always a little bit less than the moving velocity of the target image. Besides, the pursuit gain is significantly affected by the target moving velocity. The study puts forward an improved model which can simulate the eye perception results more precisely based on the pursuit gain. Simulation comparison results show that there is obvious difference between the proposed and traditional models when the product of spatial frequency and motion velocity is an integer while there is no big difference in other situations. The investigation results will play a guiding role in the optimization of motion blur and the improvement of visual comfort in liquid crystal displays.