A HAIR STYLING METHOD, INCLUDING THE STEPS OF: APPLYING A HAIR COSMETIC COMPOSITION CONTAINING A COMPONENT (A) TO THE HAIR: COMPONENT (A) : AN ORGANOPOLYSILOXANE WHEREIN AT LEAST TWO SILICON ATOMS IN ORGANOPOLYSILOXANE SEGMENTS WHICH CONSTITUTE THE MAIN CHAIN OF THE ORGANOPOLYSILOXANE (A) ARE BOUND TO POLY(N-ACYLALKYLENEIMINE) SEGMENTS (B) CONSISTING OF REPEATING UNITS REPRESENTED BY THE FOLLOWING GENERAL FORMULA (1) : VIA RESPECTIVE ALKYLENE GROUPS EACH CONTAINING A HETERO ATOM, WHEREIN THE NUMBER-AVERAGE MOLECULAR WEIGHT OF THE POLY(N-ACYLALKYLENEIMINE) SEGMENTS IS FROM 1,200 TO 5,500, WHEREIN THE MASS RATIO OF THE COMPONENT (A) TO THE COMPONENT (B) [I.E., A/B] IS FROM 35/65 TO 60/40, WHEREIN THE WEIGHT-AVERAGE MOLECULAR WEIGHTS OF THE ORGANOPOLYSILOXANE SEGMENTS BETWEEN ADJACENT TWO POLY(N-ACYLALKYLENEIMINE) SEGMENTS (B) ARE FROM 1,300 TO 5,500, AND WHEREIN THE WEIGHT-AVERAGE MOLECULAR WEIGHT OF THE ORGANOPOLYSILOXANE SEGMENTS (A) IS FROM 7,000 TO 100,000; FORMING THE HAIR STYLE AT A HAIR TEMPERATURE OF 50°C OR HIGHER; AND SUBSEQUENTLY COOLING THE HAIR TEMPERATURE TO LOWER THAN 50°C TO FIX THE FORMED HAIR STYLE.