Abstract: We discussed  the injectivity of the category of L-ordered algebras, and proved that M^≤-injective objects in the category of L-ordered algebras were exactly L-upalgebras, and  gave the concrete form of M^≤-injective hulls of a special class of L-ordered algebras in the category of L-ordered algebras.

Key words: L-ordered algebra, L-sup-algebra, injective object, injective hull