In view of solving the problem of radar targets with rotating structures in ISAR imaging, an ISAR imaging algorithm for targets with rotating parts based on multiple measurement vectors and compressed sensing (CS) is proposed. Through analyzing the Doppler difference between the target body signal and the rotating part signal, a model of the multiple measurement vectors (MMV) to the target body signal in direction of crossrange is established. Since the target body signal has a fixed supportset in direction of crossrange, and the rotating part signal does not have sparsity on this supportset, the body ISAR image of the target can be obtained after the signal reconstruction with the MMV model. On the basis of this, the ISAR image of the rotating part is obtained by inverse Radon transform. The simulation results show that the proposed algorithm is valid.