We have detected sub-TeV gamma-ray emission from the direction of the Galactic Center ( GC ) using the CANGAROO-II Imaging Atmospheric Cherenkov Telescope ( IACT ) . We detected a statistically significant excess at energies greater than 250 GeV . The flux was one order of magnitude lower than that of Crab at 1 TeV with a soft spectrum \propto E ^ { -4.6 \pm 0.5 } . The signal centroid is consistent with the GC direction and the observed profile is consistent with a point-like source . Our data suggests that the GeV source 3EG J1746 - 2851 is identical with this TeV source and we study the combined spectra to determine the possible origin of the gamma-ray emission . We also obtain an upper limit on the cold dark-matter density in the Galactic halo .