Abstract: In this paper we introduce the notion of anti fuzzy lattice ordered m-groups and investigated some of its basic properties. We also study the homomorphic image, pre-image of anti fuzzy lattice ordered m-groups, arbitrary family of anti fuzzy lattice ordered m-groups and anti fuzzy lattice ordered m-groups using T-norms. We introduce the notion of sensible anti fuzzy lattice ordered m-groups in groups and some related properties of lattices are discussed.