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In this paper we define the BMBJw - filters of Lattice wajsberg algebras and prove some of the properties of BMBJw - filters. We derive some relations between fuzzy filters, intuitionistic fuzzy filters to BMBJw - filters of Lattice wajsberg algebras. Further we prove that M_B^J – cut sets formed BMBJw – filters. Finally we define the BMBJw - sub algebra and prove that every BMBJw – filter is a BMBJw - sub algebra. Later we give a condition to BMBJw - sub algebra is a BMBJw – filter.
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