The SM Higgs boson has been searched in two channels: (1)
qq-bar -> WH -> l nu bb-bar for Higgs masses 110 < M_H < 150 GeV and (2)
gg -> H -> WW -> l nu l nu for 140 < M_H < 180 GeV, where l epsilon {e, mu},
using about 200 pb^-1 CDF Run II data.  95% C.L. limits on each Higgs
production at TeVatron at sqrt s = 1.96 TeV were set as a function of Higgs
mass by fitting the distribution of dijet mass (1) and dilepton azimuthal
angular separation (2).  We have significantly advanced the sensitivity to
the SM Higgs boson cf. Run I.