The invention relates to a hair dyeing process comprising at least one pigment, at least one additional component selected from cross linking agents and/or plasticizers and at least one block polymer comprising: a first block with a glass transition temperature (Tg) of greater than or equal to 40° C. derived from a monomer CH2═；C(R1)—；COOR2 in which R1=H or methyl, R2=C4 to C12 cycloalkyl group； and a second block with a glass transition temperature (Tg) of less than or equal to 20° C. derived from a vinylphosphonic acid and from a monomer CH2=C(R1)—；COOR3 in which R1=H or methyl, R3=linear or branched C1 to C6 unsubstituted alkyl group, with the exception of a tert-butyl group or a methoxyethyl group.
