  We consider the phenomenology of GMSB models where the lighter stau is the
next to lightest supersymmetric particle. In this situation the dominant
signals for supersymmetry at the Tevatron are events where two or three high
p_T tau leptons accompanied by large missing transverse energy are produced.
This leads to signatures that are very different from the photonic signals for
GMSB (where the lightest neutralino is the NLSP) and the dilepton and trilepton
signals in the usual supergravity models (involving e and/or mu only) that have
been investigated extensively. We find that the inclusive 2 tau-jet signature
could be observable at the Tevatron Run II, while the inclusive 3 tau-jet
signature could be important at Run III.
