A non-contact cosmetic treatment system (16) for treating subcutaneous tissue of a patient having a certain volume of lipid-rich cells, comprising: an energy supply element (10), an HF generator (11), a antenna coupler (12), a symmetric-asymmetric transformer (13), an antenna and generator coupler control unit (14), a microprocessor control unit (15) with user interface, and an applicator (6) ; wherein the antenna coupler (12) is configured to process a signal from the HF generator (11) and transmit the treated HF signal to the symmetric-asymmetric transformer (13); in which the symmetric-asymmetric transformer (13) is configured to convert unbalanced impedance to balanced impedance and then this treated signal is sent to the applicator (6); wherein the applicator (6) comprises at least one pair formed by two balanced capacitive electrodes; wherein the microprocessor control unit (15) with user interface has been configured to provide communication to the antenna and generator coupler control unit (14); in which the antenna coupler and generator control unit (14) is configured to regulate the operation of the HF generator (11) and the antenna coupler (12); in which the applicator (6) has a surface area of at least 50 cm2; wherein the applicator (6) is configured to be separated from the skin (2) of the patient by an air gap; in which the applicator (6) comprises a mechanical support configured to temporarily fix the applicator (6) in position in relation to the patient; and in which the applicator (6) has been configured to transmit the corresponding HF waves into the subcutaneous tissue, in order to heat the subcutaneous tissue with the HF waves.Un sistema de tratamiento cosmético sin contacto (16) para tratar tejido subcutáneo de un paciente que tiene un cierto volumen de células ricas en lípidos, que comprende: un elemento de suministro de energía (10), un generador de HF (11), un acoplador de antena (12), un transformador simétrico-asimétrico (13), una unidad (1