Cylindropuntia tunicata (Lehm.) F.M.Knuth, Kaktus-ABC: 126. 1936 ["1935"] sec. Hernández & al. 2014
- ≡Cactus tunicatus Lehm. in Nova Acta Phys.-Med. Acad. Caes. Leop.-Carol. Nat. Cur. 16: 319. 1832 syn. sec. Hernández & al. 2014
- ≡Opuntia tunicata (Lehm.) Pfeiff., Enum. Diagn. Cact.: 170. 1837 syn. sec. Hernández & al. 2014
- ≡Grusonia tunicata (Lehm.) G.D.Rowley in Tephrocactus Study Group 12(3): 45. 2006 syn. sec. Kew WCVP (2019)
- –Cactus tunicatus Lehm., Index Seminum (HBG) 1827: 17. 1827, nom. nud., syn. sec. ???
- =Opuntia exuviata DC. in Mém. Mus. Hist. Nat. 17: 118. 1828 syn. sec. Kew WCVP (2019)
- =Opuntia exuviata var. angustior DC. in Mém. Mus. Hist. Nat. 17: 118. 1828 syn. sec. Kew WCVP (2019)
- =Opuntia exuviata var. spinosior DC. in Mém. Mus. Hist. Nat. 17: 118. 1828 syn. sec. Kew WCVP (2019)
- =Opuntia stapeliae DC. in Mém. Mus. Hist. Nat. 17: 117. 1828 syn. sec. Kew WCVP (2019)
- =Opuntia furiosa H.L.Wendl. in Cat. Hort. Herrenh. 1835 syn. sec. Kew WCVP (2019)
- =Opuntia exuviata var. viridior Salm-Dyck, Cact. Hort. Dyck., ed. 1844: 48. 1845 syn. sec. Kew WCVP (2019)
- =Opuntia tunicata var. laevior Salm-Dyck, Cact. Hort. Dyck., ed. 1849: 73. 1850 syn. sec. Guzmán Cruz & al. 2003
- =Opuntia puelchana A.Cast. in Physis (Buenos Aires) 9: 101. 1928 syn. sec. TROPICOS 1988+
- =Cylindropuntia tunicata var. aricensis F.Ritter, Kakteen Südamerika 3: 890. 1980 syn. sec. Hunt 2016
- =Cylindropuntia tunicata var. chilensis F.Ritter, Kakteen Südamerika 3: 889. 1980 syn. sec. Kew WCVP (2019)
- ≡Opuntia tunicata var. chilensis (F.Ritter) A.E.Hoffm., Cact. Fl. Silvestre Chile: 242. 1989 syn. sec. Kew WCVP (2019)