Tribrachidium is closely related to Albumares brunsae and Anfesta stankovskii from Ediacaran (Vendian) rocks of the White Sea. These three, together with various other triradially symmetrical Ediacaran and Early Cambrian organisms (including Rugoconites, Ventogyrus, Vendoconularia, Anabarites and others) form the extinct Phylum Trilobozoa (though some authorities treat Trilobozoa as a class within Cnidaria).