  We consider minimal models of gauge mediated supersymmetry breaking with an
extra $U(1)$ factor in addition to the Standard Model gauge group. A $U(1)$
charged, Standard Model singlet is assumed to be present which allows for an
additional NMSSM like coupling, $\lambda H_u H_d S$. The U(1) is assumed to be
flavour universal. Anomaly cancellation in the MSSM sector requires additional
coloured degrees of freedom. The $S$ field can get a large vacuum expectation
value along with consistent electroweak symmetry breaking. It is shown that the
lightest CP even Higgs boson can attain mass of the order of 125 GeV.
