A topological index is a numeric quantity associated with a graph which characterize the topology of graph and is invariant under graph automorphism. In chemical graph theory, various physical properties, chemical reactivity, and biological activities of a molecule are strongly connected to its graphical structure. The M- Polynomial gives degree based topological indices. In this work, some neighborhood degree based topological indices of benzopoly perinaphthalene monoradical series are investigated through NM – Polynomial and direct method. Also compute Heinz-quarter mean labeling of benzopoly perinaphthalene monoradical series structure