We summarize results of a search for supersymmetry (SUSY) using a
data sample of dileptons in ppbar collisions at sqrt s = 1.8 TeV.  The data
represent an integrated luminosity of 107 pb^-1 collected by the Collider
Detector at Fermilab (CDF) during the 1992-93 and 1994-95 runs.  We also
briefly provide a prospect of the SUSY search at CDF in the next run of the
Tevatron.