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We report on a search for charge-1/3 third-generation leptoquarks (LQ) produced in pp̅ collisions at √s = 1.96 TeV using the D0 detector at Fermilab. Third-generation leptoquarks are assumed to be produced in pairs and to decay to a tau neutrino and a b quark with branching fraction B. We place upper limits on (pp̅→ LQ L̅Q̅) B2 as a function of the leptoquark mass MLQ. Assuming B-1, we exclude at the 95% confidence level third-generation scalar leptoquarks with MLQ < 229 GeV.