This paper describes an angled-convex-polishing apparatus for optical fiber endfaces, which is used for APC connectors (angled-physical-contact optical connectors), and its evaluation. This apparatus constructed utilizing an elastic-polishing-plate is driven in accordance with combined orbital and rotational motion. When a slanted angle of the ferrule endface was 8 degrees, the diameter of the ferrule endface wasranging from 1 to 2 mm, the Shore-hardness of the elastic-plate was Hs 70, and the polishing load was 200 gf/mm2, both the physical and optical performance obtained from an experimental study were as follows : An angled-convex radius on the ferrule endface was from 5.4 to 10.6 mm, a shift of the vertex on the convex surface from the optical fiber axis was less than 38.5lam, the withdrawal of the optical fiber endface from the ferrule endface was less than 0.046 μm, the backreflection was less than - 66 dB, and the insertion loss was less than 0.41 dB.