Polymeric biomaterials have significant impact in today's health care technology. Polymer hydrogels were the first experimentally designed biomaterials for human use. In this article the design, synthesis and properties of hydrogels, derived from synthetic and natural polymers and their use as biomaterials in tissue engineering are reviewed. The stimuliresponsive hydrogels with controlled degradability and examples of suitable methods for designing such biomaterials, using multidisciplinary approaches from traditional polymer chemistry, materials engineering to molecular biology, have been discussed. Examples of the fabrication of polymer-based biomaterials, utilized for various cells type manipulations for tissue re-generation are also elaborated. Since a highly porous three-dimensional scaffold is crucially important in cellular process, for tissue engineering, recent advances in effective methods of scaffolds fabrication are described. Additionally, the incorporation of factor molecules for the enhancement of tissue formation and their controlled release are also elucidated in this article. Finally, the future challenges in the efficient fabrication of effective polymeric biomaterials in tissue regeneration and medical devices applications.