The present invention discloses a safer, more effective and industrially suitable method for producing fats and oils rich in a XUX triglyceride wherein the contents of a XXX triglyceride and a XX diglyceride are low which comprises, upon removing by crystallization a XXX triglyceride and a XX diglyceride each of which is contained in fats and oils comprising 50 to 90 mass % of a XUX triglyceride in total triglycerides, the step of conducting such removing by crystallization in the presence of a fatty acid lower alkyl ester. This method is a more efficient and industrially suitable method for producing fats and oils rich in a XUX triglyceride wherein the contents of a XXX triglyceride and a XX diglyceride are low.