The notion of ordered n-ary semigroups is a generalization of ordered semigroups and n-ary
semigroups. The concepts of minimal and maximal left ideals and right ideals play an important role in
semigroups and ordered semigroups. In this paper, we extend these concepts to consider in ordered n-ary
semigroups. The remarkable results concerning minimal and maximal ordered n-ideals in ordered n-ary
semigroups are given.