Investigation of topological descriptors is one of the most active research field in chemical graph theory. It illustrates atomic construction mathematically and is utilized in the advancement of qualitative structure activity/ property relationships. There are several topological indices that have been introduced in theoretical chemistry to measure the properties of molecular topology. Among these tools, M-Polynomial and Neighborhood M-Polynomial are most important. This research work defines the Neighborhood Mpolynomial of line graph of subdivision of some convex polytopes to obtain neighborhood degree-based topological indices. For a graph , the Neighborhood M-polynomial is defined as , where , (i, j ≥ 1), is the number of edges uv of such that (u) = i and (v) = j. The line graph L ( ) of a graph is a graph whose vertex set is one-to-one correspondence with the edge set of the graph and two vertices of L ( ) are adjacent if and only if the corresponding edges are adjacent in . The subdivision graph S ( ) of a graph is the graph obtained by inserting a new vertex into each edge of . From the neighborhood M-polynomial, some neighborhood degree sum based topological indices are recovered. In future, the importance of this research is to uncover fresh finding