The carapace resembled that of other glyptodonts such as Trachycalyptus, with thick and rectangular-shaped osteoderms, loosely fused by a serrated suture.

The tail was protected by a caudal tube ; this structure, in Neuryurus, was depressed, not consolidated and mostly formed by osteoderms similar to each others.

The lateral osteoderms had large elliptical structures, with a central conical prominence, reminding those of Hoplophorus and Panochthus.

The most recent fossils date from the Late Pleistocene and the Early Holocene, and have been found in Uruguay, Brazil and Argentina.

Neuryurus is an unusual genus within the glytodonts ; the peculiar morphology of its caudal tube distinguishes it from all other genera of glyptodonts, even if it is supposed to be related to the tribe Hoplophorini.