  We consider low-energy supersymmetric model with non-anomalous discrete
R-symmetry. In such a model, to make the R-symmetry non-anomalous, new
particles with gauge quantum numbers should be inevitably added to the particle
content of the minimal supersymmetric standard model (MSSM). Those new
particles may couple to the Higgs boson, resulting in a significant enhancement
of the lightest Higgs mass. We show that, in such a model, the lightest Higgs
mass can be much larger than the MSSM upper bound; the lightest Higgs mass as
large as 140 GeV (or larger) becomes possible.
