In this paper we define the $\mathcal{ MBJ}$w – filters of Lattice wajsberg algebras and proved the properties of$\mathcal{ MBJ}$w – filters. We derive some relation between fuzzy ideals, interval valued fuzzy ideals to neutrosophic ideals. Further we prove that cut sets of $\mathcal{ MBJ}$– sets formed $\mathcal{ MBJ}w$ – filter. Finally define the $\mathcal{ MBJ}$w– lattice filters and proved every $\mathcal{ MBJ}$w – filter is a $\mathcal{ MBJ}$w – lattice filter and converse is not true.

Keywords: Lattice wajsberg algebra, MBJ-neutrosophic sets, MBJW – filters and MBJW– lattice filters.