Based on the motion characteristics of near space hypersonic targets，a moving model for the near space hypersonic targets is built. According to the current statistical model, using the function relationship of range and acceleration, a new adaptive maneuvering target tracking algorithm, called ADE-IMM is presented. The use of this algorithm can improve the tracking accuracy of tracking the hypersonic targets in near space. Simulation shows that this algorithm simultaneously has the advantages of both Singer-IMM and CS-IMM algorithms in tracking the hypersonic targets in near space.