This paper deals with the review of the literature on Peristaltic transport of physiological fluids like Carreau, Casson and Jeffrey fluids. Here, it is discussed extensive research topics, concepts, different views and the respective mathematical models. All these investigations deal with peristaltic pumping of biofluid. Among several biofluid flows in physiological systems, blood flow in small blood vessels is reported to flow under the mechanism of peristalsis. © 2016, International Journal of Pharmacy and Technology. All rights reserved.