Abstract: A method of vitrifying mammalian cells. According to the method of the present invention, biological cells of mammalian origin are frozen quickly by a vitrification method. Upon exposure to a coolant, the biological cells undergo vitrification. The biological cells which have undergone vitrification may be stored for a period of time and then devitrified at a later date. The devitrified biological cells remain viable. Preferred biological cells according to the present invention are developmental cells including blastocysts, embryos, and oocytes.