The cryobiology is the science of low temperature biology. Fertility cryopreservation is a vital branch of reproductive science and involves the preservation of gametes (sperm and oocytes), embryos, and reproductive tissues (ovarian and testicular tissues) for use in assisted reproduction techniques (ART). The cryopreservation of reproductive cells is the process of freezing, storage, and thawing of spermatozoa or oocytes. It involves an initial exposure to cryoprotectants, cooling to subzero temperature, storage, thawing, and finally, dilution and removal of the cryoprotectants, when used, with a return to a physiological environment that will allow subsequent development. Proper management of the osmotic pressure to avoid damage due to intracellular ice formation is crucial for successful freezing and thawing procedure. Management of non-cryopreserved reproductive cells (i.e., spermatozoa or oocytes) and tissues (i.e., testicular tissue or ovarian tissue) is problematic due to difficulties in donor-recipient synchronization and the potential for transmission of infectious pathogens, which cumulatively limits widespread application of these techniques. Cryopreserved cells and tissues can endure storage for centuries with almost no change in functionality or genetic information, making this storage a method highly attractive. There is a pressing need for the development of optimum cryopreservation methods for reproductive cells and tissues from many species. There are two major techniques for cryopreservation: freeze-thaw processes and vitrification. The major difference between them is the total avoidance of ice formation in vitrification. However, the biotechnology of the reproduction, although widely implemented, has generated protocols currently used to cryopreserve bovine sperm or oocytes, for example, that are still suboptimal, and cannot readily be extrapolated to other species' gametes. ART provide an ensemble of strategies for preserving fertility in patients and commercially valuable or endangered species. Nevertheless, it is very difficult to successfully cryopreserve. Currently, there is a growing interest to understand the underlying cryobiological fundamentals responsible for low survival rates in an effort to develop better cryopreservation. The key factors that affect the life-span of spermatozoa are the combinations of storage temperature, cooling rate, chemical composition of the extender, cryoprotectant concentration, reactive oxygen species (ROS), seminal plasma composition and hygienic control. Sperm preservation protocols vary among animal species owing to their inherent particularities that change extenders used for refrigeration and freezing. On the other hand, oocytes are available only in limited number as compared to spermatozoa, therefore, a cryopreservation protocol must allow a high rate of viability maintenance when they are employed in practical application in ART programs. One of the key factors that influence the freezing process is the ratio of surface area to volume. The oocytes require a longer time to reach osmotic balance with the cryoprotectant solution than the spermatozoa, due to their bigger volume. Then, during cooling of oocytes, various forms of cellular damage may occur, including cytoskeleton disorganization, chromosome and DNA abnormalities, spindle disintegration, plasma membrane disruption and premature cortical granule exocytosis with its related hardening of the zona pellucida. Therefore, animal gametes have been shown to survive storage at low temperatures, and recent results are very encouraging, although reproducible methods have yet to be obtained in many species.