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Among the various topological indices, the ISI index is considered as an important index as it is found that this index is highly correlated with the total surface area (TSA) of octane isomers in 2010. For a graph G, the ISI index is given as ∑ e d g e s d (u) d (v) d (u) + d (v) , where d(u) represents the number of vertices that are incident with u in G. The correlating potential of a topological index can be enhanced by suitable modification and generalization. and in general, a generalization accumulates more than one existing topological indices. This paper presents a study on a generalized ISI index of tree and unicyclic graphs. [ABSTRACT FROM AUTHOR]