The main purpose of nuclear transfer in domestic species is to produce a large number of identical animals. There are two main ways to produce clones by nuclear transfer. One is to use the ICM and ED cells cultured under special conditions, as donor nuclei. The other way is to use the nuclear transfer embryo itself as the donor for the next generation of cloning (multiple generational cloning). The in vitro and in vivo developmental ability of nuclear transferred embryos is the same in the case of the first three generations. A limited number of multiple-generation clones were transferred into recipient heifers, resulting in offspring from I, II and III generation clones. The strategy to increase the efficiency of multiple generational bovine embryo cloning is discussed as well as the possible use of rabbit embryos as an experimental model.