The study of the surfactant-dye joint systems adsorption on cellulose materials is very important because the surfactant-dye complexes can arrive in surface waters and the surfactants can be accumulated in soil by adsorption and can influence the normal development of the plants and the vivid organisms. It was demonstrated that the adsorption on cotton/water interface of some anionic surfactant (APG)-acid dye joint aqueous solutions with the reactive system represented by the izothiocyan group, is described by many rival processes. In the first stage of adsorption , surfactant-dye complexes with a little association degree type DSn (n=1-3) are adsorbed , but, at surfactant micelle concentrations in aqueous solution, there are two rival processes, the formation of joint micelles with big association degree (DS1, l=10-50) in competition with the surfactant simple micelles adsorption on cotton/water interface. It was observed the existence of a clear difference between the adsorbent system in the case of monomer surfactant and the adsorbent system when it is present the dye in solution, from the calculation of occupied surfaces with surfactant molecules on cotton/water interface. The type of interaction and the organization mode of surfactant-dye complexes on cotton/water interface through the modulation of original dates with classical and recent equations of adsorption isotherms were established (Fowler-Guggenheim, Zhu-Gu).