Original description as Heros istlanus:
- Jordan, David Starr & J. O. Snyder. 1899. "Notes on a collection of fishes from the rivers of Mexico, with description of twenty new species". Bulletin of the U.S. Fish Commission. v. 19, pp. 115-147 (crc00041)
- Heros mento Vaillant & Pellegrin, 1902, with type locality at Río Negro, southern Mexico. Determiner: Taylor et al., 1980
- Cichlasoma (Parapetenia) leonhard-schultzei Ahl, 1935, with type locality at Tlapa, Guerrero, Mexico. Determiner: Kullander, 2003
- Cichlasoma istlana fusca de Buen , 1946, with type locality at Río Huámito, La Huacana, Mexico. Determiner: Kullander, 2003
Conservation: Amphilophus istlanus is evaluated by the international union for the conservation of nature in the iucn red list of threatened species as (LC) least concern (2018).