To solve the problem of the sparse-aperture ISAR imaging for the target with rotating parts is poorer, a method based on sub-aperture Chirplet transform and Compressed Sensing(CS) is proposed in this paper. Firstly, the sparse ISAR imaging model of the target with rotating parts is established, then the effect of micro-Doppler of the target with rotating parts in broadband radar is deduced, and then the influence of the sparse of aperture and the micro-Doppler together is analyzed. Secondly, the radar echoes are decomposed into a series of Chirplet basis, getting rid of the micro-Doppler signal in sub-aperture based on the difference of the Chirplet parameters of the echo signals of main parts and rotating parts. Finally, to recover the imaging from the subaperture based on the CS method of Orthogonal Matching Pursuit (OMP) algorithm, getting the high quality imaging results of the target with rotating parts. Simulations show the method could eliminate the micro-doppler effect and achieve high quality imaging.