For any v even, we study the enumeration of(v,v/2+s)-odd graph for0≤s≤3.Combining with the decomposition of graph with p(l≤p≤6) vertices，we construct a new graph G_a1,_a2,_am constituted by star graphs ●_a1,●_a2,…,●_amthrough the arrangement of degree array we propose the enumeration theorem of nonisomorphic(v,v/2+s)-odd graph according to different degree array.