We review current experimental results of searches for
Supersymmetry (SUSY) at the Fermilab Tevatron Collider using the Run I data
collected during 1991-1996.  New results from the CDF detector in the jets +
missing E_t and lepton-photon channels are presented.  We discuss the
prospects for supersymmetry searches at Run II of the Tevatron, scheduled to
start in March 2001.