  We consider the possibility of unification of the Supersymmetric Standard
Model gauge groups with those of the dynamical supersymmetry breaking (DSB)
sector in theories with gauge mediated supersymmetry breaking. We find
constraints on the DSB gauge group beta function that come from unification of
the gauge coupling constants of the two sectors. These constraints are
satisfied by a fairly wide class of models. We discuss possible unification
scenarios in the context of a simple model.
