  We present the most recent results of searches for physics beyond the
Standard Model using the CDF and D0 detector in the contest of Supersymmetry
(SUSY) with Supergravity (SUGRA) constraints. All results described correspond
to analysis performed using the past 1992-1996 Fermilab Tevatron Run I data
(roughly 110pb-1 per each experiment). In particular we report on searches for
stop decay in tau channel assuming R-Parity violation; searches for R-Parity
Violating LSP decays in di-muon plus 4 jets channel; searches for resonant
slepton production in R-Parity Violating mSUGRA; searches for mSUGRA in single
electron channel assuming R-Parity Conservation and searches for stop decay in
3-4 bodies.
