= Acanthocereus acutangulus (Pfeiff.) A.Berger; Kakteen [Berger] 337, indice 124 (1929)
= Acanthocereus baxaniensis (Karw. ex Pfeiff.) Borg; Cacti [Borg] 132 (1937)
= Acanthocereus colombianus Britton & Rose; Cactaceae [Britton & Rose] 2: 122 (1920)
= Acanthocereus floridanus Small ex Britton & Rose; Cactaceae [Britton & Rose] 4: 276 (1923)
= Acanthocereus griseus Backeb.; Cactus (Paris) 85: 106 (1965)
= Acanthocereus horridus Britton & Rose; Cactaceae [Britton & Rose] 2: 122 (1920) (recognized as bona sp. in Checklist of Mexico)
= Acanthocereus occidentalis Britton & Rose; Cactaceae [Britton & Rose] 2: 125 (1920) (recognized as bona sp. in Checklist of Mexico)
= Acanthocereus pentagonus (L.) Britton & Rose; Contr. U.S. Natl. Herb. 12: 432 (1909)
= Acanthocereus pitajaya (DC.) Dugand ex Croizat; Caldasia 2: 135 (1943)
= Acanthocereus princeps (Pfeiff.) Backeb.; Descr. Cact. Nov. [Backeberg] 3: 5 (1963)
= Acanthocereus subinermis Britton & Rose; Cactaceae [Britton & Rose] 2: 125 (1920)
= Acanthocereus tetragonus var. micracanthus Dugand; Phytologia 13: 383 (1966)
= Cactus pentagonus L.; Sp. Pl. [Linnaeus] 1: 467 (1753)
= Cactus prismaticus Willd.; Enum. Pl. [Willdenow], Suppl. 32 (1814)
= Cactus reptans Salm-Dyck ex DC.; Prodr. [A.P. de Candolle] 3: 468 (1828)
= Cactus tetragonus L.; Sp. Pl. [Linnaeus] 1: 466 (1753)
= Cereus acutangulus Pfeiff.; Enum. Diagn. Cact. 107 (1837)
= Cereus baxaniensis f. pellucidus (Otto) Schelle; Kakteen [Schelle] 96 (1926)
= Cereus baxaniensis Karw. ex Pfeiff.; Enum. Diagn. Cact. 109 (1837)
= Cereus baxaniensis var. ramosus Salm-Dyck ex Walp.; Repert. Bot. Syst. [Walpers] 2: 277 (1843)
= Cereus dussii K.Schum.; Gesamtbeschr. Kakt. 89 (1897), nom. illeg.
= Cereus horribilis A.Berger; Kakteen [Berger] 124, 338 (1929)
= Cereus nitidus Salm-Dyck; Cact. Hort. Dyck. [1849 ed.]: 211 (1850)
= Cereus pentagonus (L.) Haw.; Syn. Pl. Succ. 180 (1812)
= Cereus pitajaya DC.; Prodr. [A.P. de Candolle] 3: 466 (1828)
= Cereus pitajaya var. variabilis Weing.; Monatsschr. Kakteenk. 16: 158 (1906)
= Cereus princeps Pfeiff.; Enum. Diagn. Cact. 108 (1837)
= Cereus prismaticus (Willd.) Haw. ex Steud.; Nomencl. Bot. [Steudel], ed. 2, 1: 335 (1841), nom. illeg.
= Cereus ramosus Karw. ex Pfeiff.; Enum. Diagn. Cact. 108 (1837)
= Cereus reptans Haw. ex Steud.; Nomencl. Bot. [Steudel], ed. 2, 1: 335 (1841), nom. inval.
= Cereus tetragonus (L.) Mill.; Gard. Dict., ed. 8: no. 2 (1768)
= Cereus tetragonus var. major Salm-Dyck ex Walp.; Repert. Bot. Syst. [Walpers] 2: 277 (1843)
= Cereus tetragonus var. minor Salm-Dyck; Hort. Dyck. 337 (1834)
= Cereus tetragonus var. ramosior Link & Otto; Verh. Vereins Beförd. Gartenbaues Königl. Preuss. Staaten 6: 432 (1830)
= Cereus undulatus Pfeiff.; Enum. Diagn. Cact. 107 (1837)
= Cereus variabilis Engelm.; Descr. Cact. [Engelmann & Bigelow] 40 (1856), nom. illeg. (non Pfeiff. 1837)
= Cereus vasmerii Young; Familiar Lessons Bot. Fl. Texas 276 (1873)