Both Tevatron experiments, D0 and CDF, have searched for signs of
Supersymmetry in the present Run II data sample, using integrated luminosities
of up to 260/pb collected in ppbar collisions at a center-of-mass energy of
1.96TeV. In these proceedings, new results are presented in the search for
squarks and gluinos in the jets and missing transverse energy final state,
associated production of charginos and neutralinos with multilepton final
states, search for the rare decay B_s->mumu, searches allowing R-parity
violation (muons+jets, multileptons), and searches in the gauge mediated
supersymmetry breaking framework with the final state of two photons and
missing transverse energy. In the absence of any significant deviation from
Standard Model expectations, limits on the presence of new physics are set,
which in many cases are the most stringent to date.Comment: To appear in the proceedings of 32nd International Conference on
High-Energy Physics (ICHEP 04), Beijing, China, 16-22 Aug 200