  We study the impact of the two-loop electroweak corrections on the production
of a Higgs boson via gluon-fusion in proton-proton collisions at LHC energies.
We discuss the prescritpion to include the corrections to the hard scattering
matrix element in the calculation of the hadronic cross-section sigma (p+p\to
H+X). Under the hypothesis of factorization of the electroweak corrections with
respect to the dominant soft and collinear QCD radiation, we observe an
increase of the total cross-section from 4 to 8 %, for MH <=160 GeV. This
increase is comparable with the present QCD uncertainties originating from hard
scattering matrix elements.
