The monotypic genus Kuenburgia is revised, with description of a second species, K. bifurcata sp. nov., based on both sexes from Japan, and redescription of the type species, K. vidua, based on additional Japanese females. Kuenburgia bifurcata sp. nov. more closely fits the characters of Kuenburgia as represented by K. vidua than those of any other genera. The male genitalia of K. bifurcata sp. nov. lack the right surstylus, a character shared with the genus Trispiniphora, indicating a close relationship between these genera. The left surstylus of K. bifurcata sp. nov. is bifurcated and functions as a clasping device, balancing itself in a complex fashion with the right side of the epandrium and the left and right lobes of the hypandrium, and compensates for the loss of the right surstylus. The inner wall of the bifurcated left surstylus is well developed and also bifurcates along the left and right tines. It is considered to be homologous with the subepandrial sclerite + bacilliform sclerite in Eremoneura. The aedeagus of the male genitalia is composed of an inner core plate and an outer jacket plate, with the outer jacket plate wrapping in a sinistral fashion around the inner core plate.