We study the direct detection rate for SUSY cold dark matter (CDM) predicte
d by the minimal supersymmetric standard model with universal boundary cond
itions and large values fur tan beta. The relic abundance of the lightest s
upersymmetric particle (LSP), assumed to be approximately a bino, is obtain
ed by including its coannihilations with the next-to-lightest supersymmetri
c particle (NLSP), which is the lightest s-tau. The cosmological constraint
on this quantity severely limits the allowed SUSY parameter space, especia
lly in the case the CP-even Higgs has mass of around 114 GeV. We find that
fur large tan beta it is possible to find a subsection of the allowed param
eter space, which yields detectable rates in the currently planned experime
nts. (C) 2001 Published by Elsevier Science B.V.