Mammillaria uncinata Zucc. ex Pfeiff., Enum. Diagn. Cact.: 34. 1837 sec. Hunt 2016
- ≡Cactus uncinatus (Zucc. ex Pfeiff.) Kuntze, Revis. Gen. Pl. 1: 261. 1891 syn. sec. Kew WCVP (2019)
- ≡Neomammillaria uncinata (Zucc. ex Pfeiff.) Britton & Rose, Cactaceae 4: 140. 1923 syn. sec. Korotkova 2021
- =Mammillaria bihamata Pfeiff. in Allg. Gartenzeitung 6: 274. 1838 syn. sec. TROPICOS 1988+
- ≡Cactus bihamatus (Pfeiff.) Kuntze, Revis. Gen. Pl. 1: 260. 1891 syn. sec. Kew WCVP (2019)
- ≡Mammillaria uncinata var. bihamata (Pfeiff.) Backeb., Cactaceae 5: 3143. 1961 syn. sec. Kew WCVP (2019)
- =Mammillaria depressa Scheidw. in Bull. Acad. Roy. Sci. Bruxelles 5: 494. 1838 syn. sec. POWO 2017+
- ≡Cactus depressus (Scheidw.) Kuntze, Revis. Gen. Pl. 1: 260. 1891 syn. sec. POWO 2017+
- =Mammillaria uncinata var. biuncinata Lem., Cact. Gen. Sp. Nov.: 96. 1839 syn. sec. Kew WCVP (2019)
- =Mammillaria uncinata var. spinosior Lem., Cact. Gen. Sp. Nov.: 96. 1839 syn. sec. Kew WCVP (2019)
- =Mammillaria adunca Scheidw. ex C.F.Först., Handb. Cacteenk.: 222. 1846 syn. sec. Kew WCVP (2019)
- =Mammillaria uncinata var. rhodantha A.Dietr. in Allg. Gartenzeitung 18: 185. 1850 syn. sec. Kew WCVP (2019)