We search for Higgs bosons produced in association with a massive vector boson in 91±7pb-1 of pp collisions at √s = 1.8TeV recorded by the Collider Detector at Fermilab. We assume the Higgs scalar H0 decays to a bb 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(pp → H0V)β as a function of the scalar mass (MH0) over the range 70 < MH 0 < 140GeV/c2. When combined with an analysis of the case where V is a leptonically decaying W, these limits vary from 23 pb at MH0 = 70GeV/c2 to 17 pb at MH0 = 140GeV/c2.