In this paper we study the implications of the top quark mass measurem
ent at CDF for the Higgs boson mass MH. We find that the present data
are most likely in favor of heavy Higgs boson, M(H) = 340(-270)(+770)
GeV for M(t) = 174 GeV, but no realistic constraints on M(H) could be
derived until the measurement of MI reaches high precision.