  We present the results on the searches for the SM and the non-SM Higgs boson
production in ppbar collisions at sqrt(s)=1.96 TeV with the CDF detector at the
Fermilab Tevatron. Using data corresponding to 300--700pb-1, we search for the
Higgs boson in various production and decay channels. No signal is observed,
therefore, we set upper limits on the production cross-section times branching
fraction as a function of the Higgs boson mass.
