The present invention relates to a cosmetic or dermatological composition comprising in a physiologically acceptable support: a) at least one oily phase and b) at least one merocyanine compound of formula (1 ) defined hereinbelow and c) at least one organic UVB screening agent chosen from: v) a liquid lipophilic organic UVB screening agent vi) a hydrophilic organic UVB screening agent vii) a triazine UVB screening agent and viii) mixtures thereof; and d) at least one organic UVA screening agent other than the said merocyanine compound; when the said UVB screening agent is liquid and lipophilic the said composition contains less than 2% by weight of cyclohexasiloxane relative to the total weight of the composition. Another subject of the present invention consists of a non therapeutic cosmetic process for caring for and/or making up a keratin material comprising the application to the surface of the said keratin material of at least one composition according to the invention as defined above. The invention also relates to a non therapeutic cosmetic process for limiting the darkening of the skin and/or improving the colour and/or uniformity of the complexion comprising the application to the surface of the keratin material of at least one composition as defined previously. The invention also relates to a non therapeutic cosmetic process for preventing and/or treating the signs of ageing of a keratin material comprising the application to the surface of the keratin material of at least one composition as defined previously.