Acanthocereus tetragonus (L.) Hummelinck in Succulenta (Netherlands) 20: 165. 1938 sec. Hunt 2016
- ≡Cactus tetragonus L., Sp. Pl. 1: 466. 1753 syn. sec. Guzmán & al. 2003
- =Cactus pentagonus L., Sp. Pl. 1: 467. 1753 syn. sec. Guzmán & al. 2003
- =Cereus tetragonus (L.) Mill., Gard. Dict. (ed. 8): CER. 1768 syn. sec. Guzmán & al. 2003
- =Cereus pentagonus (L.) Haw., Syn. Pl. Succ.: 180. 1812 syn. sec. Guzmán & al. 2003
- =Cereus acutangulus hort. ex Pfeiff., Enum. Diagn. Cact.: 107. 1837 syn. sec. Anderson 2001
- =Cereus baxaniensis Karw. ex Pfeiff., Enum. Diagn. Cact.: 109. 1837 syn. sec. Hunt & al. 2006
- =Cereus princeps Pfeiff., Enum. Diagn. Cact.: 108. 1837 syn. sec. Guzmán & al. 2003
- =Cereus variabilis Pfeiff., Enum. Diagn. Cact.: 105. 1837 syn. sec. Anderson 2001
- =Acanthocereus pentagonus (L.) Britton & Rose in Contr. U.S. Natl. Herb. 12: 432. 1909 syn. sec. Guzmán & al. 2003
- =Acanthocereus horridus Britton & Rose, Cactaceae (Britton & Rose) 2: 122. 1920 syn. sec. Hunt & al. 2006
- =Acanthocereus occidentalis Britton & Rose, Cactaceae (Britton & Rose) 2: 125. 1920 syn. sec. Hunt & al. 2006
- =Acanthocereus subinermis Britton & Rose, Cactaceae (Britton & Rose) 2: 125. 1920 syn. sec. Hunt & al. 2006
- =Acanthocereus floridanus Small ex Britton & Rose, Cactaceae (Britton & Rose) 4: 276. 1923 syn. sec. Hunt & al. 2006
- =Acanthocereus acutangulus (hort. ex Pfeiff.) A. Berger, Kakteen (Berger): 124. 1929 syn. sec. Hunt 2016
- =Acanthocereus baxaniensis (Karw. ex Pfeiff.) Borg, Cacti (Borg): 132. 1937 syn. sec. Hunt & al. 2006
- =Acanthocereus princeps (Pfeiff.) Backeb., Descr. Cact. Nov. 3: 5. 1963 syn. sec. Guzmán & al. 2003
- =Acanthocereus tetragonus var. micracanthus Dugand in Phytologia 13: 383. 1966 syn. sec. Guzmán & al. 2003