In this paper, by an approximating argument, we obtain infinitely many solutions for the following Hardy-Sobolev equation with critical growth: {-Delta u=vertical bar u vertical bar(2)*((t)-2)u/vertical bar y vertical bar(t) + mu u, in Omega u=0, on partial derivative Omega provided N > 6 + t, where 2*(t) = 2(N-t)/N-2, 0