The invention relates to a method for cosmetically treating dark spots on the skin wherein said method is intended for eliminating at least one of said dark spots located in a region of the hand the face the limbs or the chest area of a person suffering from such skin hyperpigmentation characterised in that said method includes a step of applying a spray of cryogenic fluid to said region which brings the skin temperature to a temperature of between 4°C and 15°C for a consecutive application period of from 2 to 10 seconds in order to selectively act on the melanocytes and to a device for carrying out said method.