Abstract: The shape memory polymers（SMPs）belong to a class of smart polymers，they have the ability to respond to the external stimuli，and adjust their own mechanics parameter，then recover to the predefined shape. The SMPs have the applying value in the field of automation，packing material and microelectromechanical. To further extend the application of shape-memory materials and satisfy the demand of special domains（such as aerospace and biomedicine） ，make up the defect of single shape memory function，multifunction SMPs attract more and more attention of scientists. Reviews the research progress of multifunction SMPs and their application in biomedical engineering，prospects their future development。

Key words: shape memory polymers （SMPs）, application in biomedicine, intelligent materials