CDF and D0 detectors have already collected 1.3 fb-1 of data
delivered by the Tevatron collider at 1.96 TeV center-of-mass energy.  We
present here the various analyses that are currently testing the possibility
of a supersymmetric extension of the Standard Model.  No evidence for such
processes have been found in luminosities that range from 300 to 800 pb-1
and different limits on the different supersymmetric models are set.
Constraints coming from indirect searches are also preferred.