Abstract: A method of carrying out cryosurgical interventions includes cooling biological tissue at a rate of at least 180 K/min to a temperature of -190.degree. C. to -160.degree. C., subsequently rewarming the biological tissue at a rate of 100 to 240 K/min to a temperature of -70.degree. C. to -20.degree. C. with a subsequent rewarming at a rate of 10 to 25 K/min to a temperature of -5.degree. C. to +5.degree. C., and further rewarming the biological tissue up to body temperature. The total time of the controlled rewarming of the biological tissue is shorter than 5 minutes. An apparatus for carrying out the method of cryosurgical interventions includes a container of cooled medium an operating instrument, and a control unit for controlling the cooling and subsequent rewarming of biological tissue. The control unit includes a microprocessor coupled to electronic switches and a measuring unit.