A printing system that is capable of producing a bookbound matter with good appearance when producing the bookbound matter by covering a first sheet bundle with a second sheet bundle. A determination unit determines whether it is specified so that images are printed on sheets of first and second sheet bundles in page order in which a bookbound matter is produced by covering the second sheet bundle folded by the first sheet bundle folded. A control unit controls so as to cut the first sheet bundle at a first position and to cut the second sheet bundle at a second position that is different from the first position, when the determination unit determines to be specified.