The present invention relates to a composition for dyeing keratin fibres comprising at least one aqueous dispersion of particles of hybrid film forming hydrophobic acrylic polymer at least one linear block silicone copolymer and at least one pigment. It also relates to a dyeing method in which said composition is applied to the keratin fibres the operation optionally being followed by a drying operation. The composition makes it possible to obtain a coloured shampoo resistant coating that leaves the treated fibres individualized with an improved cosmetic feel.