A new genus, Compoceration, in the asellote family Paramunnidae Vanhöffen, 1914 is diagnosed. The type species Compoceration garyi sp. nov. was collected from 220 m depth off southern New South Wales. The new species shares several characters with Pentaceration Just, 2009. It differs from the latter mainly in its unique head structures and a cylindrical, non-flared mandible molar.