Firstly, through the principle analysis and simulation experiment, the maneuvering target tracking algorithm of curve model interacting multiple model tracking algorithm was given. Because the algorithm is simple structure and high cost efficiency, it becomes generally applicable algorithm for the curve tracking model. But, the target mobility is very high in practice, Single target tracking model is no longer applicable curve tracking model. To improve the accuracy of tracking, the adaptive grid interacting multiple model (AGIMM) algorithm was given. The algorithm has two fatal weaknesses in the practical application. First, in maneuvering target tracking process, when the model changes and gradual change, the tracking precision is not high; Second, because the changing model structure is very large model sets, the algorithm is complexity and system processing speed is very slow, which cannot be widely used. To improve the accuracy and its scope of application of the algorithm, The paper proposed the adaptive Kalman filter adaptive interacting multiple model algorithm (AKFAIMM).The algorithm introduced the parameter in the adaptive Kalman filter, and adjusted parameter in maneuvering target tracking, the parameter was adjusted continuously in the curve motion model, it could greatly improve the tracking precision and the application of the model. Second, to improve the algorithm complexity. The paper improved that the angular velocity estimation method replaced centripetal acceleration estimation method on turning curve. The estimation method reduced the number of model set and reduced greatly of computation. At the same time, according to the algorithm in the model changes, the centripetal acceleration could be continuously adjusted and improved the adaptability of the model. The algorithm improved maneuvering target tracking algorithm accuracy. The effectiveness of algorithm was proved the validity by simulation.