The genus was named in 2000 by David Martill, Eberhard Frey, Guillermo Chong Diaz and Charles Michael Bell. The type species is Domeykodactylus ceciliae. The genus name is derived from the Cordillera Domeyko and Greek daktylos, finger in reference to the wing finger typical of pterosaurs. The specific name honors geologist Cecilia Demargasso of the Universidad Católica del Norte, who was so kind to us.