Original description as Theraps irregularis:
- Günther, Albert C. L. G. 1862. "Catalogue of the fishes in the British Museum. Catalogue of the Acanthopterygii, Pharyngognathi and Anacanthini in the collection of the British Museum". Catalogue of the fishes in the British Museum London. Vol 4; i-xxi + 1-534 (crc00035)
- Theraps belone Allgayer, 1989, with type locality at La Culebra sur le Río Chocolja, Chiapas, Mexico. Determiner: Kullander, 2003
Conservation: Theraps irregularis is evaluated by the international union for the conservation of nature in the iucn red list of threatened species as (LC) least concern (2018).