  We study the prospects of detecting muon events at the upcoming Iron
CALorimeter (ICAL) detector to be built at the proposed India-based Neutrino
Observatory (INO) facility due to neutrinos arising out of annihilation of
Weakly Interactive Massive Particles (WIMP) in the centre of the earth. The
atmospheric neutrinos coming from the direction of earth core presents an
irreducible background. We consider 50kt $\times$ 10 years of ICAL running and
WIMP masses between 10-100 GeV and present 90 \% C.L. exclusion sensitivity
limits on $\sigma_{SI}$ which is the WIMP-nucleon Spin Independent (SI)
interaction cross-section. The expected sensitivity limits calculated for ICAL
for the WIMP annihilation in the earth are more stringent than the limits
obtained by any other indirect detection experiment. For a WIMP mass of ~$52.14
\textup{ GeV}$, where the signal fluxes are enhanced due to resonance capture
of WIMP in earth due to Fe nuclei, the sensitivity limits, assuming 100\%
branching ratio for each channel, are : $\sigma_{SI} =1.02\times 10^{-44}~cm^2$
for the $\tau^{+} \tau^{-}$ channel and $\sigma_{SI} =5.36\times 10^{-44}
~cm^2$ for the $b ~\bar{b}$ channel.
