  The restrictions on the lightest Higgs boson mass in the minimal
supersymmetric models are briefly reviewed. The particle spectrum is considered
in the framework of the simplest modification of NMSSM that allows to avoid the
domain wall problem and to get the self--consistent solution in the strong
Yukawa coupling limit. The lightest Higgs boson mass in the investigated model
can reach $125 GeV$ at values of $\tan\beta\ge 1.9$ and does not exceed
$130.5\pm 3.5 GeV$.
