Abstract In this paper, we study the boundedness of fractional multilinear integral operators with rough kernels T Ω , α A 1 , A 2 , … , A k , $T_{\Omega ,\alpha }^{{A_1},{A_2}, \ldots ,{A_k}},$ which is a generalization of the higher-order commutator of the rough fractional integral on the generalized weighted Morrey spaces Mp,ϕ (w). We find the sufficient conditions on the pair (ϕ 1 , ϕ 2) with w ∈ Ap,q which ensures the boundedness of the operators T Ω , α A 1 , A 2 , … , A k , $T_{\Omega ,\alpha }^{{A_1},{A_2}, \ldots ,{A_k}},$ from M p , φ 1 w p t o M p , φ 2 w q ${M_{p,{\varphi _1}}}\left( {{w^p}} \right)\,{\rm{to}}\,{M_{p,{\varphi _2}}}\left( {{w^q}} \right)$ for 1 < p < q < ∞. In all cases the conditions for the boundedness of the operator T Ω , α A 1 , A 2 , … , A k , $T_{\Omega ,\alpha }^{{A_1},{A_2}, \ldots ,{A_k}},$ are given in terms of Zygmund-type integral inequalities on (ϕ 1 , ϕ 2) and w, which do not assume any assumption on monotonicity of ϕ 1 (x,r), ϕ 2(x, r) in r.