  We evaluate the non-perturbative contribution to the double-diffractive
production of the Higgs boson, which arises due to the QCD scale anomaly if the
mass of the Higgs M_H is smaller than the mass of the top quark M_T, M_H < M_T.
The cross section appears to be larger than expected from perturbative
calculations; we find \sigma_H = 0.019 - 0.14 pbarn at the Tevatron energy, and
\sigma_H = 0.01 - 0.27 pbarn at the energy of the LHC.
