Over the last half the 20th Century, reproductive medicine has become a critically important branch of modern medical science. Fertility preservation is a vital branch of reproductive medicine and involves the preservation of gametes (sperm and oocytes), embryos, and reproductive tissues (ovarian and testicular tissues) for use in artificial reproduction. This technology gives millions of people suffering from reproductive ailments, cancer patients who have their reproductive functions destroyed by therapy (chemotherapy and radiation) and people undergoing sterilization, a chance to conceive. The most common fertility preservation technique is cryopreservation, which involves freezing cells and tissues at cryogenic temperatures. Cryopreserved cells and tissues can endure storage for centuries with almost no change in functionality or genetic information, making this storage method highly attractive. However, developing efficient cryopreservation techniques is challenging, as both freezing and thawing exposes cells to severe stresses, potentially causing cell death. 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. The use of both theoretical models that describe cell response to freezing and thawing, and experimental investigations of freezing behavior, has led to the development of successful freeze-thaw and vitrification procedures for a number of cell types. Among reproductive cells, there exist efficient cryopreservation techniques for spermatozoa and embryos. Oocytes, however, present significant hurdles in achieving successful cryopreservation, primarily due to their sensitive microtubule structure. Recently, cryopreservation of ovarian and testicular tissues has been investigated with success reported. Ovarian cryopreservation can help circumvent many of the problems associated with oocyte cryopreservation, while testicular tissue preservation may be helpful when insufficient sperm counts are available for routine semen preservation.