This article presents recent results of searches for physics
beyond the Standard Model using the CDF and the D0 detector at the Fermilab
Tevatron Collider.  All results shown correspond to analysis performed using
the past 1992-1996 Fermilab Tevatron run I data (roughly 100 pb-1 per each
experiment).  In particular we describe recent Tevatron searches for scalar
top in the b + l + missing-E(t) channel, for squark and gluinos using
like-sign dileptons (LS), for large extra space-time dimensions and the
search for leptoquarks and technicolor in the missing-E(t) + heavy flavour
jet events.  Tight limits on the existence of such models have been set.