Cyrtogomphoceras is a genus of nautiloid cephalopods, recognized by its large breviconic shell with a notable endogastric curvature.

The shell is fusiform in profile, reaching maximum width at or near the base of body chamber, which narrows toward the aperture.

The siphuncle is large and slightly removed from the ventral side, that with the concave longitudinal profile.

Cyrtogomphoceras seems to be derived from Strandoceras by a reduction in the degree of endogastric curvature and may have given rise to Landeroceras by a further evolutionary straightening of the shell.

Cyrtogomphoceras, named by Foeste, 1924, has been found in middle and upper Ordovician beds in North America and Greenland.