  The considerable part of the parameter space in the MSSM corresponding to the
infrared quasi fixed point scenario is excluded by LEP II bounds on the
lightest Higgs boson mass. In the NMSSM the mass of the lightest Higgs boson
reaches its maximum value in the strong Yukawa coupling limit when Yukawa
couplings are essentially larger than gauge ones at the Grand Unification
scale. In this case the renormalization group flow of Yukawa couplings and soft
SUSY breaking terms is investigated. The quasi-fixed and invariant lines and
surfaces are briefly discussed. The coordinates of the quasi-fixed points,
where all solutions are concentrated, are given.
