Lichomolgus panikkari Gnanamuthu, 1955 (=Indomolgus panikkari), an incompletely known species, is redescribed based on a male specimen found newly from the Yellow Sea. A new genus of copepods, Lutumidomus, is proposed to incorporate Lichomolgus panikkari, Notoxynus tertius Kim, 2000, and Lutumidomus parvus n. sp., all associated with sea anemones. The new genus is differentiated from the related genera by a combination of characters that the antenna is 4-segmented, with a claw and an enlarged seta in addition to other setae on the fourth segment, the third endopodal segment of leg 3 is armed with two spines and two setae, the second endopodal segment of leg 4 is armed with two spines and three setae, and the maxillule is armed with two terminal setae. Paramolgus nudipes n. sp. and Verutipes scutatus n. sp. are also described as associates of sea anemones from Korean seas.