We review searches for neutral Higgs Boson performed by the CDF
and D0 collaborations using approximately 200 pb-1 of the dataset
accumulated from p anti-p collisions at the center-of-mass energy of 1.96 TeV.
No signals are found and limits on the Standard Model (SM) Higgs or SM-like
Higgs production cross section times branching ratio and couplings of the
Higgs boson in MSSM are presented, including the future prospects of
discovery Higgs at the end of Run II.