We have searched for a light standard-model Higgs boson produced in association with an intermediate vector boson at the Fermilab proton-antiproton collider operating at a center-of-mass energy of 1.8 TeV. The search was made by looking for an excess of isolated high-transverse-momentum charged-track pairs in $W$ and $Z$ events. A Higgs boson with a mass ${m}_{H}$ in the intervals $2{m}_{\ensuremath{\mu}}<{m}_{H}<818$ MeV/${\mathit{c}}^{2}$, and $846 \frac{\mathrm{MeV}}{{c}^{2}}<{m}_{H}<2{m}_{K}$ is excluded at 90% C.L.