  The direct detection rate for supersymmetric cold dark matter (CDM) particles
is calculated for a number of suitable nuclear targets. Both the coherent and
spin contributions are considered. By considering representative
phenomenologically acceptable input in the restricted SUSY parameter space,
detectable rates are predicted for some choices of the parameters. The
modulation effect, due to the Earth's annual motion, has also been considered
and found to be $\le 4%$. Its precise value depends on the mass of CDM
particles (LSP) and the structure of the target.
