  We investigate focus points of the renormalization group equations of the
Minimal Supersymmetric Standard Model. We show that within this model the up-
and down-type Higgs mass soft supersymmetry breaking parameters have focus
point behavior at the electroweak scale simultaneously when appropriate
conditions are fulfilled. The focus point scenario is holding for large $\tan
\beta$. This two focus point scenario allows to fix the pole top-quark mass
which is within the experimentally allowed interval. The main goal of the
present paper is the investigation of the influence of the existence of focus
points on the determination of the mass of the lightest Higgs boson.
