In the satellite navigation and positioning system, due to the low power of the navigation signal, it is easy to be interfered when it reaches the ground, resulting in positioning failure. Adaptive null steering technology can effectively improve the anti-jamming ability of satellite navigation receiver. However, due to the common space-time combined minimum power response, null steering jitter often occurs, so the anti-jamming performance of the receiver can not be effectively aligned. In this case, the paper proposes a method of smoothing and filtering the weights in the anti-interference algorithm, and verifies the feasibility of the algorithm by means of simulation, FPGA implementation and field measurement. This method can effectively suppress the jitter of the system weight and the zero trap position, so as to improve the stability and reliability of the anti-interference algorithm, and has certain reference value for related engineering fields.