Coloring composition for color filter, color filter and display element

Provided is a coloring composition for a color filter with excellent chromatic property, development property and storage stability. The coloring composition for a color filter comprises following components (A), (B) and (C): (A) a colorant containing pigment, (B) a copolymer comprising a repeating unit(1) represented by formula (1), a repeating unit(2) represented by formula (2) and a repeating unit(3) with acidic group, wherein the copolymerized ratio of said repeating unit(2) is 75 mass% and more, with respect to the whole amount of all repeating units rather than the said repeating unit(1), and the ratio of weight average molecular weight Mw to number average molecular weight Mn (Mw/Mn) is 1.0 to 1.9, and (C) a crosslinking agent, [In formula (1), R1 represents a hydrogen atom or a methyl, Z represents -N+R2R3R4Y-(wherein R2 to R4 each independently represents hydrogen atom or hydrocarbon group, 2 and more of R2 to R4 optionally binds each other to form saturatured heterocycle, Y- represents a counter anion), or -NR5R6(wherein R5 or R6 each independently represents hydrogen atom or hydrocarbon group, and R5 and R6 optionally bind each other to form saturatured heterocycle); X1 represents a divalent linking group. In formula (2), R7 represents a hydrogen atom or a methyl, R8 represents an aliphatic hydrocarbon group or alicyclic hydrocarbon group.].