In this paper, introduce a new type of labeling called total neighborhood strongly multiplicative labeling of some standared graphs. Let ???? = (????(????),????(????)) be a graph with ???? vertices and ???? edges. A bijective function ????: ????(????) ∪ ????(????) → {1,2,3, … , ???? + ????} is said to be a total neighborhood strongly multiplicative labeling, if for each vertex ???? in ???? with deg (????) > 1, the product of the labels of it's neighborhood vertices and edges are all distinct. A graph which admits a total neighborhood strongly multiplicative labeling is called a total neighborhood strongly multiplicative graph. In this manuscript we prove that the Path graph ????????,Comb graph ????????⨀????1, Degree splitting of path ????????(???????? ), Complete bipartite graph ????????,???? and the Duplication of complete bipartite graph ????(????????,????) are all total neighborhood strongly multiplicative graphs.