  We improve on a recent determination of alpha_s from Gamma(Upsilon(1S)-->X
gamma)/Gamma(Upsilon(1S)-->X) with CLEO data by taking into account color octet
contributions and avoiding any model dependence in the extraction. We obtain
alpha_s(M_Upsilon(1S))= 0.184+0.015-0.014, which corresponds to
alpha_s(M_Z)=0.119+0.006-0.005.
