We report the TeV gamma-ray observations of the nearby normal spiral galaxy NGC 253 . At a distance of \sim 2.5 Mpc , NGC 253 is one of the nearest starburst galaxies . This relative closeness , coupled with the high star formation rate in the galaxy , make it a good candidate TeV gamma-ray source . Observations were carried out in 2000 and 2001 with the CANGAROO-II 10 m imaging atmospheric Cerenkov telescope . TeV gamma-ray emission is detected at the \sim 11 \sigma level with a flux of ( 7.8 \pm 2.5 ) \times 10 ^ { -12 } { cm } ^ { -2 } { sec } ^ { -1 } at energies > 0.5 TeV . The data indicate that the emission region is broader than the point spread function of our telescope .