The existence of dark matter, both on the cosmological scale and local
ly in the Milky Way is reviewed. Models of cold dark matter (CDM) base
d on supergravity grand unification with R-partity invariance are exam
ined. In these models, the CDM particles are the lightest neutralino,
<(Z)over bar (1)>. The parameter space for SU(5) and SO(10) models wit
h non-universal soft breaking is examined. It is seen that the minimum
event rates can be increased or decreased by a factor of 10-100 (depe
nding on the sign of the non-universal corrections) if 2m(<(Z)over bar
1>) is in the vicinity of the Z or Higgs mass.