  It is shown that the minimal supersymmetric SO(10) model with electroweak
radiative breaking and universal soft mass terms at the GUT scale is strongly
disfavoured by the combination of constraints from the $b\to s \gamma$ decay
and the condition $\Omega h^2 < 1$ for the lightest (stable) neutralino. The
constraints are, however, easily satisfied for certain class of supersymmetric
SO(10) models with non--universal scalar masses which gives small
supersymmetric corrections to the bottom quark mass and light higgsino--like
neutralinos.
