A new species of the deep-sea ceratioid anglerfish genus Chaenophryne Regan (Lophiiformes: Oneirodidae), Chaenophryne quasiramifera, is described on the basis of two female specimens collected from the Nasca Ridge and Peru-Chile Trench in the Eastern Tropical Pacific Ocean. The new form is distinguished from its congeners by a combination of features that includes escal morphology, illicium length, and jaw-tooth and fin-ray counts. The new species is diagnosed and described, and a revised key to the species is provided.