Abstract: An optical fiber connector polishing apparatus is disclosed which comprises a polishing element rotated at high speed, a chuck for supporting an optical fiber connector in such a manner that the optical fiber connector is rotatable in a reciprocation mode, a swing arm which holds the chuck to swing the chuck, in a horizontal plane, between a first fixed position and a second fixed position, a positioning unit for positioning the swing arm selectively at the first or second fixed position on the swing locus thereof, a swinging unit for swinging the swing arm in a horizontal plane continuously while the end portion of the optical fiber connector being polished with the polishing element, and a reference member for positioning the end portion of the optical fiber connector at a reference position. The polishing element and the reference member are arranged at the first and second fixed positions of the swing arm, respectively.