<正> In this article we introduce the generalized lacunary difference sequence spaces [Nθ,M,Δm]0,[Nθ,M,Δm]1 and [Nθ,M,Δm]∞using mth- difference.We study their properties like completeness,solidness,symmetricity.Also we obtain some inclusion relations involving the spaces [Nθ,M,Δm]0,[Nθ,M,Δm]1 and[Nθ,M,Δm]∞and the Cesàro summable and strongly Cesàro summable sequences.