In the SINS swing base initial alignment process, the filtering model is nonlinear error model because of the large azimuth misalignment angle. The alignment adaptivity can be improved efficiently with the combination of strong tracking theory and UKF. In this paper, the fuzzy logic adaptive controller is applied to confirm the tracking factor, which can enhance the adaptivity of the strong tracking UKF. Through the swing base initial alignment simulation, the algorithm is testified to be correct, and the experiment results show that it has better robustness and anti-jamming dynamic performance.