  We present semi-analytical solutions of the supersymmetric non-universal
masses models for low $\tan\beta$ regime. In addition to this, scale and
$\tan\beta$ dependencies of the soft (mass)$^2$ terms are given in the form of
numerical solutions. By using the constrained form of the semi-analtic results,
particular attention is paid on the non-universality assumption of the Higgs
mass values and their potential measurable effects on the mass spectra of the
minimal supersymmetric standard model. It is observed that, certain measurables
are almost insensitive to the initial mass choices of the Higgs fields, like
the mass of the light $\mathcal{CP}$-even Higgs boson. On the other hand, large
deviations exist on the mass of the remaining physical Higgs bosons signal that
the allowed parameter space of the model can be probed successfully. For this
aim, in addition to the other physical Higgs bosons, imprints originating from
the heavier chargino ($\tilde \chi^\pm_2$), heavy neutralinos ($\tilde
\chi^0_3$, $\tilde \chi^0_4$) and the light scalar tau ($\tilde \tau_1$) are
necessary and found to be promising.
