Three new copepods (Poecilostomatoida: Anchimolgidae) are described, associated with the scleractinian coral Leptoria tenuis (Dana) near Noumea, New Caledonia. Panjakus directus n. sp. has an elongate caudal ramus, the formula II,I,5 on the third segment of the exopod of leg 4, and the free segment of leg 5 is elongate. Panjakus necopinus n. sp. has II,I,5 on the third segment of the exopod of leg 3, and lacks auricular lobes on the somite bearing leg 4. Juxtandrianellus probus n. gen., n. sp., has the unusual formula II,4 on the third segment of the endopod of leg 1 in the female, and the endopod of leg 4 has the formula 0-1;I.