Abstract: A typical low-level wind shear of thunderstorm activates long periodic oscillation of an aircraft, causing tracking deviation of the aircraft. On the assumption that thewind shear is sinusoidal, the effects of long periodic oscillation on the landing path of an aircraft were studied by computer calculation and with flight simulator. It is shown that the results obtained by calculation and simulation are not the same, implying that it might not be adequate to train pilots to manoeuvre the aircraft in low-level wind shear fully based on the available simulating modes of flight simulators.