In this paper graph product of 3 generators is presented. To date the product of two subgraphs have been considered widely but in about of 3 subgraphs and their graph production we have a little references. In structural mechanics many models can produce from graph product of 3-subgraphs. So instead of calculating some properties of these structures directly we can use graphical model of them and find out those properties from these graphs. These graphical models can be constructed from graph product of 3 subgraphs, so their properties also can be found from those graphs. This is that help us to find out some properties of a structure rapidly and efficiently