Currently, the gold standard of plastic material for infrainguinal artery replacement is still autovein, however, not infrequently the necessity for prostheses arises. The review presents the characteristics of xeno- and allogenic prostheses for lower limb arteries, which have been used in vascular surgery worldwide since 1960-ies till the present. There have been analyzed the clinical results with the bioprostheses, their advantages and disadvantages being discussed. We have shown that the approach based on chemically cross-linked human and animal tissues used for bioprostheses is limited in its further development. We have studied the evolution of tissue engineering vascular grafts (TEVG), and carried out a critical review of current state of the issue, and presented further paths of its development.