  We re-investigate the scalar potential and the Higgs sector of the
supersymmetric economical 3-3-1 model (SUSYE331) in the presence of the B/\mu
type terms which has many important consequences. First, the model contains no
massless Higgs fields. Second, we prove that the soft mass parameters of
Higgses must be at the SU(3)_L scale. As a result, the masses of the Higgses
drift toward this scale except one light real neutral Higgs with the mass of
m_Z|cos(2\gamma)| at the tree level. We also show that there are some Higgses
containing many properties of the Higgses in the minimal supersymmetric
standard model (MSSM), especially in the neutral Higgs sector. One exact
relation in the MSSM, m^2_H^{+/-}=m^2_A+m^2_W, is still true in the SUSYE331.
Based on this result we make some comments on the lepton flavor violating
decays of these Higgses as one of signatures of new physics in the SUSYE331
model which may be detected by present colliders.
