The advent of nanostructured polymers has significantly influenced the development and rapid growth of various technologies in modern biomedical application like tissue engineering and organ transplants. The polymers are mainly found in applications such as sutures, scaffolds for tissue regeneration, tissue adhesives, hemostats, and transient barriers for tissue adhesion, as well as drug delivery systems. Each of the above applications demands materials with unique physical, chemical, biological, and biomechanical properties to provide efficient therapy. In this context a wide range of polymers, both natural and synthetic, have been explored for their use. However, recent advances in molecular and cellular biology, coupled with the development of novel biotechnological drugs, necessitate the modification of existing polymers or synthesis of novel polymers for specific applications by including nano engineering. This chapter highlights various nanostructure polymeric materials reported for use in two key medical applications: function generating substitute, and organ transplants.