The invention relates to a refrigeration device, especially a domestic refrigeration device (1), and to a method for cooling a refrigeration space (4) of a refrigeration device, especially of a domestic refrigeration device (1). A compressor (6), with which a refrigeration circuit (5) for cooling the refrigeration space (4) is provided, is alternately switched off and on in a time-controlled manner as long as the temperature (T) of the refrigeration space (4) lies within a temperature range (?T) which is associated with a rated temperature of the refrigeration space (4) and is defined by an upper threshold temperature (TO) and a lower threshold temperature (TU).