We report the feasibility study of observing associated production
of Higgs and Z^0 bosons with H -> bb-bar and Z^0 -> nu nu-bar, l^+l^- at sqrt
s = 2 TeV high luminosity Tevatron (TeV33).  The signature of such decay is a
resonance of two b tagged jets, plus either large missing E_t (missing E_T >
35 GeV) or dilepton pair mass near the Z^0 mass.  The signal and backgrounds
are estimated using the CDF II detector configuration and the numbers are
cross checked against the existing CDF Run I missing E_T data.  It may be
possible to detect a Standard Model Higgs boson mass up to 120 GeV with 30
fb^-1 of integrated luminosity by combining a result with W^+/- H -> l^+/- nu
b b-bar channel.