Caelestiventus hanseni was named by
Britt et al. (2018) [Dimorphodontid pterosaur with the following unique characters: square and tall jugal (ventral margin of the orbit at midheight of the antorbital fenestra) braced medially by a diagonal ridge pierced by a large pneumatic foramen; comparatively small, anterolaterally facing orbit; frontoparietal that is short and broader than long, with a transverse nuchal crest that is C-shaped in dorsal view, and adductor muscle ridges curving posteriorly and meeting a low sagittal ridge to form a trifurcate structure; anterodorsally directed premaxillary process of the nasal; maxillary tooth crowns that are leaf-shaped and labiolingually compressed with a median ridge on the labial and lingual sides; interdental space between the maxillary teeth that is much shorter than the mesiodistal crown length below the ascending process and along the jugal process, and more widely spaced along the premaxillary ramus; small elliptical Meckelian fenestra at the mid-length of the mandibular ramus; large mandibular teeth 1 and 2, followed by 38 small teeth with labiolingually compressed crowns that are triangular and symmetrical and increase in size distally in the series. C. hanseni has a narrow remnant of an antorbital fossa in the jugal (a structure possibly present in the eudimorphodontid Carniadactylus rosenfeldi) and a furrow along the posterior margin of the terminal wing phalanx (like the rhamphorhynchids Rhamphorhynchus muensteri and Nesodactylus hesperius).]. Its type specimen is BYU 20707, a partial skeleton (the left maxilla fused with the jugal, the right maxilla, the right nasal, the fused frontoparietals, the right and left mandibular rami, the right terminal win), and it is a 3D body fossil. Its type locality is
Saints & Sinners Quarry, BYU loc. 1442, which is in a Triassic/Jurassic interdune sandstone/claystone in the Nugget Sandstone Formation of Utah. It is the type species of
Caelestiventus.