A HAIR COSMETIC COMPOSITION COMPRISING THE FOLLOWING COMPONENTS (A) AND (B) AND HAVING A PH OF 6 OR LESS: (A) AN OXYALKYLENE POLYMER REPRESENTED BY THE FOLLOWING GENERAL FORMULA (A1): -(AO)N-(A1) WHEREIN A REPRESENTS AN ALKYLENE GROUP HAVING 2 TO 6 CARBON ATOMS AND N REPRESENTS A NUMBER FROM 50 TO 30,000, PROVIDED THAT N NUMBER OF AOS CONSIST OF AT LEAST TWO ALKYLENEOXY GROUPS AND ARE ARRANGED THROUGH EITHER RANDOM POLYMERIZATION OR BLOCK POLYMERIZATION AND (B) A POLYMER CONTAINING A COMPONENT UNIT REPRESENTED BY THE FOLLOWING GENERAL FORMULA (B2) IN A MASS RATIO (B1)/(B2) OF 50/50 TO 100/0: - (CH2CR1COOH)- (B1) - (CH2CR COOR ) - (B2) WHEREIN R1 AND R2 REPRESENT H OR CH3 AND R3 REPRESENTS A C2-20 HYDROCARBON GROUP.
