We have searched for pair production of the supersymmetric partner of the top quark (stop) in 107 pb(-1) of p (p) over bar collisions at roots=1.8 TeV collected by the Collider Detector at Fermilab (CDF). Each stop is assumed to decay into a lepton, bottom quark, and supersymmetric neutrino. Such a scenario would give rise to events with two leptons, two hadronic jets, and a substantial imbalance of transverse energy. No evidence of such a stop signal has been found. We exclude stop masses in the region (80less than or equal tom((t) over bar)less than or equal to135 GeV/c(2)) in the mass plane of stop versus sneutrino.