The present invention relates to a cosmetic composition in the form of a cosmetic wax comprising a wax and / or a butter, an oil, and at least one surfactant - active agent chosen from the group comprising the mi pa laureth sulphate, the laureth 3, the sodium laureth 7 or a mixture of those - ci. The present invention also relates to the cosmetic use of a composition in the form of a wax comprising a wax and / or butter, an oil, and at least one surfactant - active agent chosen from the group comprising the mi pa laureth sulphate, the laureth 3, the sodium laureth 7 or a mixture of those - 1 for cleaning and / or remove make-up from the skin. The present invention also relates to a cosmetic treatment process for the care of the skin or skin treatment comprising the use of a cosmetic composition in the form of a wax comprising a wax and / or butter, an oil, and at least one surfactant chosen from the group comprising the mipa laureth sulphate, the laureth 3, the sodium laureth 7 or a mixture of those - ci. The present invention also relates to a kit for the cosmetic treatment of the skin, comprising a cosmetic composition in the form of a wax comprising a wax and / or butter, an oil, and at least one surfactant - active agent chosen from the group comprising the mipa laureth sulphate, the laureth 3, the sodium laureth 7 or a mixture of those - ci.et a support comprising instructions for the use of the composition on skin.