A massage device intended to be applied to the skin of a user. The massage device may include a body, at least one massage member that is fixed relative to the body, and at least one massage member that can rotate relative to the body when moved over the skin in contact therewith. At least part of the fixed massage member in contact with the skin is able to move following the path of at least part of the mobile massage member in contact with the skin so as to cause at least one skin fold to be formed between the said massage members as the device is moved around.