Radiative corrections to the process mu+mu- -> H gamma

QED radiative corrections to the cross section for muon-antimuon annihilati on into a Higgs boson and a photon are calculated within the one-loop appro ximation. We present an expression for the cross section in the form of tha t for a Drell-Yan process, taking into account higher order leading logarit hms. The nonsinglet structure functions of fermions are shown to obey the e volution equations for twist-3 operators. Numerical estimates show the impo rtance of the correction in the region close to the threshold of Higgs prod uction.