We review the searches for supersymmetric particles achieved by the
CDF and D0 collaborations at the ppbar Tevatron collider at sqrt s = 1.8 TeV
and with a total integrated luminosity of 110 pb-1, per experiment.  The
prospects for the forthcoming run at sqrt s = 2eV and an integrated luminosity
reaching ultimately at least 20 fb-1, are also discussed.