The Cyrtogomphoceratidae are a family in the cephalopod order Discosorida that comprises genera commonly with compressed, endogastrically curved shells.

Chambers are short, separated by shallow, dish shaped septa.

[1] The Cyrtogomphoceratidae are derived from the discosorid family Reudemannoceratidae, probably from Reudemannoceras, through the ancestral genus Ulrichoceras, and have a range from the Middle Ordovician to the Lower Silurian.

The family[2] includes: Ulrichoceras is also considered the source for the exogastric Westonoceratidae.

The Cyrtogomphoceratidae, through Strandoceras, gave rise to the Silurian - L Devonian Phragmoceratidae which differ primarily in having thin connecting rings and variably modified, strongly contracted apertures.