An optical inspection machine for the quality control of parts, in particular gaskets, comprises a rotary table on which the parts to be inspected are positioned and, above said rotary table, a peripheral viewing unit suitable for inspecting the outer and/or inner side surfaces of a part. The unit comprises a plurality of downward-facing video cameras and, beneath each video camera, at least one angled mirror suitable for reflecting the image of a portion of the outer and/or inner side surface of the part to be inspected.