  We present a preliminary study of the production of a light Higgs boson with
a mass between 120 and 160 GeV in photon-photon collisions at a Compton
collider. The event generator for the backgrounds to a Higgs signal due to
bbbar and ccbar heavy quark pair production in polarized Gamma-Gamma collisions
is based on a complete next-to-leading order (NLO) perturbative QCD
calculation. For J_z=0 the large double-logarithmic corrections up to four
loops are also included. It is shown that the two-photon width of the Higgs
boson can be measured with high statistical accuracy of about 2-10% for
integrated Gamma-Gamma luminosity in the hard part of the spectrum of 43 fb-1.
  From this result the total Higgs boson width can be derived in a model
independent way.
