The present paper is the third regional revision of the Old World Lindsaeoid ferns. The second (the fourth in the entire series on the Old World Lindsaeoids) will be published as vol. II, 1 part 3 of Flora Malesiana; it is awaiting publication as the present paper goes to the press. Species fully described there and extending into the area covered by the present revision are not dealt with at length again, in order to avoid redundance. The present treatment deals with the species of Micronesia, Melanesia, and Polynesia, or, more precisely, the smaller Pacific Islands from the Palau Islands, the Marianas, and the Bismarck Archipelago in the West to Hawaii and the Marquesas in the East. The Volcano and Bonin Islands wil be treated with Japan, to which country they were recently returned; the Admiralty Islands are included in Flora Malesiana; New Zealand will be dealt with together with Australia; New Caledonia was the subject of a separate publication (Kramer 1967); no Lindsaeoid ferns have so far been found on the Tuamotus, Pitcairn, Easter Island, and other islands in the extreme East of Polynesia, nor on any atoll islands.