Research activities of Russian Medical Engineering Center and Institute of Medical Materials of Shape Memory Alloys and Implants are presented as follows: The direction of elaboration of porous shape memory alloys for medicine. Medical and technical requirements and physical and mechanical criteria of porous shape memory implants elaboration. Basic laws of heat-, stress- and strain-induced changes of mechanical properties, shape memory effect and superelasticity in porous TiNi-based alloys. Methods of regulation of shape memory effect parameters in porous alloys and methods for controlling the regulation-induced changes of physical and mechanical properties. Original technologies of elaboration of porous alloys In various fields of medicine. Arrangement of serial production of shape memory porous implants and examples of their medical use.