= Cactus anizogonus C.F.Först.; Handb. Cacteenk., ed. 2 [Rümpler] 764 (1885)
= Cactus napoleonis Loudon; Encycl. Pl. [Loudon], Suppl. 1: 1202 (1840)
= Cactus triangularis L.; Sp. Pl. [Linnaeus] 1: 468 (1753)
= Cactus triangularis var. aphyllus Jacq.; Select. Stirp. Amer. Hist. 152 (1763)
= Cactus triangularis var. foliaceus Jacq.; Select. Stirp. Amer. Hist. 152 (1763)
= Cactus triangularis var. variegatus Bertol.; Giorn. Arcadico Sci. 29: 342 (1826)
= Cactus triangularis Vell.; Fl. Flumin. 206 (1825 publ. 1829), nom. illeg.
= Cactus triqueter Willd.; Enum. Pl. [Willdenow], Suppl. 33 (1814), nom. illeg.
= Cereaster triangularis (L.) F.Berge; Buch Welt 90 (1842)
= Cereaster triangularis var. variegatus F.Berge; Buch Welt 90 (1842)
= Cereus anizogonus Salm-Dyck; Cact. Hort. Dyck. [1849 ed.]: 52 (1850)
= Cereus compressus Mill.; Gard. Dict., ed. 8: no. 10 (1768)
= Cereus napoleonis Graham; Bot. Mag. 63: t. 3458 (1836)
= Cereus pomifer Weing.; Z. Sukkulentenk. 3: 70 (1927)
= Cereus triangularis (L.) Haw.; Syn. Pl. Succ. 180 (1812)
= Cereus triangularis (L.) Mill.; Gard. Dict., ed. 8: no. 9 (1768)
= Cereus triangularis var. major DC.; Prodr. [A.P. de Candolle] 3: 468 (1828)
= Cereus triangularis var. pictus DC.; Prodr. [A.P. de Candolle] 3: 468 (1828)
= Cereus trigonus Haw.; Syn. Pl. Succ. 181 (1812)
= Cereus trigonus var. quadrangularis Haw.; Syn. Pl. Succ. 181 (1812)
= Cereus venditus Paulsen; J. Bot. 56: 235 (1918)
= Hylocereus antiguensis Britton & Rose; Cactaceae [Britton & Rose] 2: 193 (1920)
= Hylocereus compressus Y.Itô; Cactaceae [Itô] 122 (1981) (nom. nov., as ´nov. comb.´, without repl. syn. ref.)
= Hylocereus cubensis Britton & Rose; Cactaceae [Britton & Rose] 2: 188 (1920)
= Hylocereus napoleonis Britton & Rose; Contr. U.S. Natl. Herb. 12: 429 (1909)
= Hylocereus trigonus (Haw.) Saff.; Rep. (Annual) Board Regents Smithsonian Inst. 553, 556 (1908 publ. 1909)
= Selenicereus triangularis (L.) D.R.Hunt; Cactaceae Syst. Init. 36: 35 (2017)
= Selenicereus trigonus (Haw.) S.Arias & N.Korotkova; Phytotaxa 327(1): 29 (2017)