In this article a description of the Orlicz difference sequence space `M(∆(m)) generated by Orlicz function M and a new generalized dif-ference operator ∆(m) is presented. We investigate some topological structures relevant to this space. It is also shown that under certain condition `M(∆(m)) is topologically isomorphic to `∞. Furthermore we define a subspace hM(∆(m)) of `M(∆(m)) and it is shown that under certain condition hM(∆(m)) is topologically isomorphic to c0.