This article presents the current experimental results of
searches for Supersymmetry (SUSY) at the Collider Detector at Fermilab
(CDF), using over 110 pb^-1 of proton-antiproton collision data with sqrt s
= 1800 GeV collected during the period 1992-1995. Since no signal was
found, limits on the production of supersymmetric particles are derived.
The prospects for supersymmetry searches at Run II of the Tevatron, that
began in March 2001, are also discussed here.