Apristurus albisoma is described from New Caledonia at depths ranging from 935 to 1,564 m. The description is based on 21 type specimens, which include immature and mature males and females, ranging from 328 to 596 mm in total length. This new species is distinguishable from other species of the genus by the following characters: small eyes and wide interorbital region; the latter being 2.7-3.6 times eye diameter; first dorsal fin originating above middle of pelvic-fin base; second dorsal-fin axil before anal-fin axil; upper labial furrows equal to, or shorter than lower furrows; overlapping tricuspid dermal denticles; 6-10 spiral valves; continuous supraorbital sensory canal; body whitish.