  We consider the sparticle and higgs spectroscopy in a class of superstring
inspired models in which the string threshold corrections ensure the
consistency of the string unification scale with the low energy data. The
lightest neutralino is almost a pure bino and it is predicted to be the
lightest sparticle (LSP). Requiring that $\Omega_{LSP}\leq 0.9$, we find an
upper bound on its mass which, in the case of dilaton supersymmetry breaking,
turns out to be 160 GeV. The LEP 1.5 experimental lower bound on the chargino
mass, $m_{\chi^{\pm}} > 65$ GeV, implies that the lower bound on the LSP mass
is $m_{LSP} > 32 (45)$ GeV, corresponding to $\mu < (>)0$. We also determine
the lower and upper bounds on the higgs and other sparticle masses. For
instance, the lightest higgs lies between 65 and 115 GeV, while the mass of the
lightest charged sparticle satisfies 47 GeV $ < m_{\tilde{e}_R} < 325$ GeV.
With only the top Yukawa coupling of order unity we find that $ 1.5 \leq \tan
\beta \leq 3.5$.
