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We search for Higgs bosons produced in association with a massive vector boson in 91 ± 7 pb-1 of pp̅ collisions at √s =1.8 TeV recorded by the Collider Detector at Fermilab. We assume the Higgs scalar H0 decays to a bb̅ pair with branching ratio β, and we consider the hadronic decays of the vector boson V (W or Z). Observations are consistent with background expectations. We place 95% confidence level upper limits on σ (pp̅→H0V) β as a function of the scalar mass (MH0) over the range 70 < MH0 < 140 GeV/c2. When combined with an analysis of the case where V is a leptonically decaying W, these limits vary from 23 pb at MH0 = 70 GeV/c2 to 17 pb at MH0=140 GeV/c2.