We present the predictions for the mass M(h) of the lightest Higgs bos
on in models with gauge-mediated supersymmetry breaking as a function
of the SUSY-breaking scale. We include all radiative corrections up to
two loops and point out that if the CDF e(+)e(-)gamma gamma event is
interpreted in terms of these models, then the lightest Higgs boson sh
ould be lighter than 110 GeV.