Some boundedness results are established in the setting of homogeneous Morrey-Herz spaces for a class of higher order commutators ~$T^{m}_{b,l}$ and ~$M^{m}_{b,l}$ generated by fractional integral operators ~$T_l$ and maximal fractional operators ~$M_l$ with function b(x) in BMO(${\mathbf{R}}^{n}$), respectively.