For a vertex x of G, the eccentricity e (x) is the distance between x and a vertex farthest from x. Then x is a contour vertex if there is no neighbor of x with its eccentricity greater than e (x). The x-y path of length d (x,y) is called a x-y geodesic. The geodetic interval I [x,y] of a graph G is the set of vertices of all x-y geodesics in G. For S ⊆ V , the geodetic closure I [S] of S is the union of all geodetic intervals I [x,y] over all pairs x,y ∈S. A vertex set S is a geodetic set for G if I [S] = V (G). In this thesis, we study the contour sets of product graphs and discuss these sets are geodetic sets for some conditions.