Supersymmetric SU(3) X U(1) Gauge Model: Higgs Structure at the Electroweak Scale

We consider a supersymmetric version of the recently proposed SU(3) X U(1) extended gauge model. We show that it is possible to have only two Higgs doublets at the SU(2) X U(1) energy scale but they are not those of the minimal supersymmetric standard model. In particular, the upper bound on the lightest scalar boson of this model is $4 M_Z \sin \theta_W$ at tree level and goes up to 189 GeV after radiative corrections.