The extent of binding of two type acid dyes (levelling and super milling) by the polyion complexes of poly(allyl amine)/poly(methacrylic acid) (PAA/PMA) and poly-(4-vinyl pyridine)/poly(methacrylic acid)(P4VP/PMA), which are insoluble in water, was examined at 20~4$0^{circ}C$ temperature range in a buffer solution (pH 7.0). The first binding constant and the thermodynamic parameters in the course of binding were calculated. PAA/PMA complex showed that the enthalpy change was small and negative, but the entropy change was positive. P4VP/PMA complex showed that the enthalpy change was large and negative, and the entropy change was also negative. These results suggest that hydrophobic interaction plays at important role in binding of acid dyes by PAA/PMA complex, and electrostatic interaction of acid dyes with P4VP/PMA complex.