The Tetragonoceratidae is a small family of nautilitids constituting a part of the superfamily Tainocerataceae in which shells are coiled with a generally quadrate whorl section.

Coiling is either gyroconic or evoluute with a slight dorsal impression.

Flanks diverge from the umbilical to the ventral shoulders so as to make the whorl sections widest close to the venter.

The siphuncle is tubular, typically found near the venter.

The Tetragonoceratidae, which is an early offshoot of the Rutoceratidae, contains three genera (as of 1964), all confined to the Middle Devonian: Tetragonoceras, Nassauoceras, and Wellsoceras.