Let G be a graph G∈(V,E) with vertex set V and edge set E. A function f:E(G)→{－1,1}is a signed edge dominating function of a graph G= (V,E) such that f［e］=f(N［e］)=∑〖DD(X〗e′∈〖WTHZ〗N〖WTBX〗［e］〖DD)〗f(e′)≥1 for every edge e∈E. w(f)=∑〖DD(X〗e∈E〖DD)〗f(e) is called the weight of f. The signed edge domination number γ′ s(G) of Gis the minimum weight among all signed edge dominating functions of G. It continues to study this parameter for G a complete multipartite graph. It gives some lower and upper bounds of γ′ s(G) for G a complete r-partite graph with r being odd and all parts being equal, which provides solution ideas for computing parameters of general complete multipartite graphs.