A cellulose acylate film, which contains 1% to 25% by mass of a plasticizer and has a cellulose acylate composition satisfying the inequalities of 0.ltoreq.X.ltoreq.2.5 and 2.1.ltoreq.X+Y.ltoreq.3.0 (in which X is a substitution degree of acetyl group, and Y is a substitution degree of at least one group selected from propionyl, butyryl, and phthaloyl groups), is transversely stretched under conditions of [preheating temperature>stretching temperature] and [preheating zone length/stretching zone length=0.1 to 10]. After the transverse stretching, the film is heat-fixed under conditions of [stretching temperature>heat-fixing temperature] and [heat-fixing zone length/stretching zone length=0.1 to 10].