Aiming at the defocusing problem of bistatic inverse synthetic aperture radar (ISAR) for maneuvering target imaging under the condition of sparse aperture, a sparse basis which contains the ratio of rotation angular acceleration to initial rotation velocity and bistatic time-varying angle and meets the characteristics of target echo is established, and the CoSaMP algorithm is combined to solve the maneuvering target imaging of sparse aperture signals. Simulation results show the effectiveness of the proposed algorithm.