  A supersymmetric version of the recently proposed reduced minimal 3-3-1 model
is considered and its Higgs sector is investigated. We focus on the mass
spectrum of the lightest scalars of the model. We show that Higgs mass of 125
GeV requires substantial radiative corrections. However, stops may develop
small mixing and must have mass around TeV. Moreover, some soft SUSY breaking
terms may lie at the electroweak scale, which alleviates some tension
concerning fine tuning of the related parameters. The lightest doubly charged
scalar may have mass around few hundreds of GeV, which can be probed at the
LHC, while the remaining scalars of the model have masses at TeV scale.
