CDF and D0 have performed searches for Supersymmetry with data collected at sqrt s = 1.8 TeV during the years 1992-95. These searches are based on detector signatures: events with appreciable missing transverse energy plus jets with or without dileptons can signal squark and gluino production: the spectacular signature of trilepton events can result from the production of charginos and neutralinos; the inclusion of R parity violation can produce events with like-sign dileptons and no missing transverse energy. Results from these analyses are presented.