[PROBLEMS] To provide an efficient process for producing an optically active chromene oxide compound which is an important intermediate for a benzopyran compound effective in the treatment of arrhythmia.[MEANS FOR SOLVING PROBLEMS] The process for producing an optically active chromene oxide compound comprises using an optically active titanium complex represented by, e.g., the formula (1) or (2) as a catalyst to asymmetrically oxidize an optically active chromene compound with high enantioselectivity in high chemical yield.