The structural and electronic properties of R3c phase BiFeO 3 (111) surface were calculated by the full-potential augmented plane wave method within the LSDA+U. It is found that the (111)-Bi/O 3 /Fe-terminated surface is more stable than the O- and Fe-terminated surfaces at the O-poor environment, and (111)-O 3 /Fe/Bi-terminated surface is more stable than the Bi- and Fe-terminated surfaces at the O-rich environment. Indeed, the (111)-Fe/Bi/O 3 -terminated surface cannot be stabilized, after relaxation it will turn to the Bi-terminated surface. The density of states (DOS) of the relaxed BiFeO 3 (111) surface were calculated and compared with that of the bulk BiFeO 3 . The ground-state electronic property of ferroelectric BiFeO 3 is found to be insulating and antiferromagnetic, but the BiFeO 3 (111) surface all have metallic properties, and the Fe magnetic moments are coupled ferromagnetically (F) within the pseudocubic (111) planes and antiferromagnetically (AF) between adjacent planes.