  We investigate the implications of the recent measurement of muon anomalous
magnetic moment for the direct detection of neutralino dark matter in the three
different SUSY models: mSUGRA, a model with non-universal Higgs mass, and an
SO(10) GUT model. We consider two extreme scenario for $\Delta a_\mu$ bound,
i.e. $27 \times 10^{-10} < \Delta a_\mu < 59 \times 10^{-10}$ (1$\sigma$ bound)
and $0 < \Delta a_\mu < 11 \times 10^{-10}$ ($2\sigma$ below). In mSUGRA model,
the counting ratio may be above the sensitivity of the future experiments when
parameters are within $1\sigma$ bound of $\Delta a_{\mu}$. However, the
$\Omega_{\chi}$ tends to be high compared to the currently favored value
$\Omega=0.3$. For models with the non-universal scalar masses, the possibility
to have the consistent $\Omega_{\chi}$ and the high counting ratio is open up
in the region of parameter space where Higgsino mass $\mu$ is smaller than
mSUGRA prediction. In particular, in the SO(10) model, the LSP dark matter
detection rate may be enhanced by almost one order of magnitude compared to
mSUGRA and the model with non-universal Higgs mass, for cosmologically
acceptable $\Omega_{\chi} h^2$. The highest detection rate of LSP dark matter
occurs in the region where the LSP constitutes a subdominant part of local halo
DM. Implication of SUSY mass parameter measurement under the cosmological
constraint is also discussed.
