In this article, author tries to construct a relation between graphs of product of meetsemilattices iL i= i????1???? ????????2, where ????1 and ????2 are two semilattices and obtain some properties of such graphs. Author investigated that for meet-semilattices ????1 and ????2 has a cycle of length n-1 and n. Further author reveals that if ????1 ????and i????2 ????be itwo imeet-semilattices iwith i0 iand iL i= i????1???? ????????2.