  The transverse momentum $Q_T$ distribution is computed for inclusive Higgs
boson production at $\sqrt{S} = 1.96$ TeV. We include all-orders resummation of
large logarithms associated with emission of soft gluons at small $Q_T$. We
provide results for Higgs boson and $Z^*$ masses from $M_Z$ to 200 GeV. The
relatively hard transverse momentum distribution for Higgs boson production
suggests possibilities for improvement of the signal to background ratio.
