We review searches for neutral Higgs Boson performed by the CDF and D0 collaborations using approximately 200 pb
of the dataset accumulated from
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,
... [Show full abstract] including the future prospects of discovery Higgs at the end of Run II.