Turbinicarpus valdezianus (H. Moeller) Glass & R.A. Foster in Cact. Succ. J. (Los Angeles) 49: 174. 1977 sec. Hunt 2016
- ≡Pelecyphora valdeziana H. Moeller in Möller's Deutsche Gärtn.-Zeitung 15: 179. 1930 syn. sec. Guzmán & al. 2003
- =Echinocactus valdezianus (H. Moeller) Boed. in Monatsschr. Deutsch. Kakteen-Ges. 2: 148. 1930 syn. sec. Guzmán & al. 2003
- =Pelecyphora plumosa Boed. & F. Ritter in Monatsschr. Deutsch. Kakteen-Ges. 2: 116. 1930 syn. sec. Guzmán & al. 2003
- =Thelocactus valdezianus (H. Moeller) Bravo, Cact. México: 473. 1937 syn. sec. Guzmán & al. 2003
- =Pelecyphora valdeziana var. albiflora Pazout, Kaktusy (Brno) 129. 1960 syn. sec. Guzmán & al. 2003
- =Gymnocactus valdezianus (H. Moeller) Backeb., Kakteenlexikon: 162. 1966 syn. sec. Guzmán & al. 2003
- =Gymnocactus valdezianus var. albiflorus (Pazout) Backeb., Kakteenlexikon: 163. 1966 syn. sec. Guzmán & al. 2003
- =Normanbokea valdeziana (H. Moeller) Kladiwa & Buxb., Kakteen 40-41: C VIIIb, 1. 3. 1969 syn. sec. Guzmán & al. 2003
- =Neolloydia valdeziana (H. Moeller) E.F. Anderson in Bradleya 4: 14. 1986 syn. sec. Guzmán & al. 2003
- =Neolloydia valdeziana var. albiflora (Pazout) A.T. Powell in Brit. Cact. Succ. J. 13: 155. 1995 syn. sec. Powell 1995
- =Turbinicarpus valdezianus var. albiflorus (Pazout) Zachar, Staník, Lux & Dráb, Rod Turbinicarpus: 42. 1996 syn. sec. Guzmán & al. 2003
- =Pediocactus valdezianus (H. Moeller) Halda in Acta Mus. Richnov., Sect. Nat., 5: 22. 1998 syn. sec. Guzmán & al. 2003
- =Turbinicarpus valdezianus var. pazoutii Halda & Malina in Acta Mus. Richnov., Sect. Nat., 12: 10. 2005 syn. sec. Halda & al. 2005