  We present the most recent results of searches for physics beyond the
Standard Model using the CDF and the D$\not$O detector at the Fermilab Tevatron
Collider. All results shown correspond to analysis performed using the past
1992-1996 Fermilab Tevatron run I data (roughly 110 $pb^{-1}$ per each
experiment). In particular we report on searches for scalar top and scalar
bottom particles together with other {\it classic} Supersymmetry analysis.
Results from non Standard Model Higgs searches are also summarized.
