We search for supersymmetry (SUSY) using trilepton events in ppbar collisions at sqrt s = 1.8 TeV. In the Minimal Supersymmetric Standard Model (MSSM), trilepton events are expected from chargino-neutralino (chi-bar^+/-_1, chi-bar^0_2) pair production, with subsequent decay into leptons. In all possible combinations of electron and muon channels in 100 pb^-1 of data, we observe no events which pass our trilepton selection criteria. Assuming the GUT hypothesis within the framework of the MSSM, our preliminary analysis excludes M(chi-bar^+/-_1) < 68 GeV/c^2.