Abstract: Adaptive Pulse Compression (APC) can effectively mitigate the mutual interference between the transmitting waveforms of Multiple-Input Multiple-Output (MIMO) radar. In this paper, APC of MIMO radar based on Multi-Stage Wiener Filter (MSWF) is proposed, in which, the weights of forward and backward recursion of MSWF are computed to obtain the weight coefficients of the APC. The proposed method does not involve the estimate and the inverse of the sample covariance matrix, thus indicating much lower computation complexity. The numerical results indicate that the proposed method is superior to the conventional matched filter, and performs similarly as the APC based on MMSE and GSC.