As cancer treatment improves, more young women of reproductive age are surviving, but they suffer from infertility as a consequence of the radiation and chemotherapy. Human ovarian tissue containing immature primordial follicles has been successfully cryopreserved. The ultimate aim of this technique is to induce ovarian function by re-plantation of ovarian tissue or, further into the future, by in vitro maturation (IVM) of the oocytes derived from the cryopreserved-thawed ovarian tissue, followed by routine in vitro fertilization. IVM of primordial follicles from young cancer survivors would avoid the risk of cancer re-transmission by the ovarian grafts. The present review discusses the current achievements in IVM of female germ cells and primordial ovarian follicles and the attempts to improve their development by adding various factors to the culture medium. The established methods for the evaluation of survival and growth in culture are also discussed: follicular counts, immunocytochemical methods, transmission electron microscopy, fluorescent viability markers and endocrine assays. Although the development of IVM systems is still in its infancy, researchers need to pursue their approach step-by-step, especially with regard to factors that might be involved in the activation of the ovarian follicles or female germ cells. The final measure of success will be the ability of the in vitro matured oocytes to fertilize and produce healthy offsprings. The availability of such treatment will probably lead to its demand not only by cancer patients but by other women as well.