A subject matter of the present invention is a method for dyeing human keratinous fibres which consists in applying a dyeing composition using a container comprising a removable applicator comprising a permeable material through which the composition can pass the composition being applied by bringing the applicator into contact with the dry or wet fibres the said composition comprising at least one aqueous dispersion of particles of hybrid hydrophobic film forming acrylic polymer at least one linear block silicone copolymer and at least one pigment. The method according to the invention makes it possible to obtain a coloured coating which is persistent towards shampooing operations or washing operations and which leaves the treated fibres individualized with an improved cosmetic feel the treated fibres being the hair (roots sidelocks) non head hair (beard moustache) eyelashes or eyebrows.