Abstract: The history, basic model, hypothesis, mathematical principle, and general solutions of multichannel blind deconvolution (MBD) are described in this review. Then, the state of the art and the challenge problems in MBD research are discussed. On the basis of the latest process, the characteristic and methods of typical algorithms are summarized from the six aspects which are time domain， frequency domain， time-frequency domain， subspace, sub-band technology and other one. The major defects, advantages and disadvantages of these algorithms are proposed. Finally， the existing problems on the research of MBD are generalized, and the open areas of theoretic and applied research in MBD are brought  forward.