A new species of the genus Hibana Brescovit, 1991, previously known only from the Americas, is described from Ascension Island, based on both sexes: Hibana ascensionensis sp. nov. complemented with colour photographs of specimen habitus, male chelicera, and the copulatory organs of both sexes. Hitherto, the family Anyphaenidae Bertkau, 1878 had not been recorded from Ascension Island, nor any other mid-Atlantic island. The new species is related to, but distinct from, H. tenuis (L. Koch, 1866) and H. talmina Brescovit, 1991. The unusual indentation of male chelicerae in Hibana is documented and figured in detail for the first time.