To improve the amplitude limiting efficiency of pendulous gyroscope north-seeker， an improved stepping iterative method is developed.Firstly， based on the introduction of motion equation for the sensitive part as well as the analysis of traditional stepping iterative method， different stepping iterative strategies are put forward according to the initial angular velocity when the sensitive part is put down.Then， the implementation principle of improved stepping iterative method is deduced in details.The feasibility of the proposed method is verified by numerical simulation.The numerical simulation examples show that when the initial angular velocity for putting down the sensitive part is within a certain range， the improved stepping iterative method has a higher limiting efficiency than the traditional one.The improved stepping iterative method can avoid the electromagnetic interference torque problem of the electromagnetic damping method while keeping the traditional stepping method′s advantages， and ensure the limiting reliability， thus providing a theoretical reference for shortening the north-seeking time.