  We consider here the constraints in SUGRA models on the SUSY parameter space
due to current experimental bounds on the light Higgs mass m_h, the b-> s gamma
decay, the amount of neutralino cold dark matter Omega h^2, and the muon
magnetic moment. Models with universal soft breaking (mSUGRA) and non-universal
gaugino or Higgs masses at M_G are examined. For mSUGRA, the m_h, b->s gamma
and Omega h^2 constraints imply a lower bound on the gaugino mass of
m_{1/2}>~300GeV implying the gluino and squarks have mass >~700GeV, and the
neutralino >~120GeV. The current status of the Brookhaven muon g - 2 experiment
is reviewed, and if the Standard Model (SM) contribution evaluated using the
e^+ + e^- data is correct, a 2 sigma bound on the deviation of experiment from
the SM produces an upper bound on m_{1/2} that eliminates the "focus point"
regions of parameter space. Dark matter (DM) detection cross sections range
from 5\times10^{-8} pb to 5\times10^{-10} pb which would be accessible to
future planned detectors. The SUSY decay B_s->\mu^+ +\mu^- is seen to be
accessible to the Tevatron Run 2B with 15 fb^{-1} luminosity for tanbeta >~30.
The most favorable signals of SUSY for linear colliders are stau pair
production and neutralino pair production, though it will require an 800GeV
machine to cover the full parameter space. Non-universal models can modify some
of the above results. Thus a non-universal (heavier) gluino mass at M_G can
significantly reduce the lower bound constraints of b\to s gamma and m_h giving
rise to a lighter SUSY spectrum. A heavier up Higgs mass can open an additional
region with allowed relic density arising from annihilation via the s-channel Z
diagram with an O(10) larger DM detector cross section.
