Mammillaria uncinata Zucc. ex Pfeiff., Enum. Diagn. Cact.: 34. 1837 sec. Hunt 2016
- =Mammillaria bihamata Pfeiff. in Allg. Gartenzeitung 6: 274. 1838 syn. sec. Guzmán & al. 2003
- =Mammillaria uncinata var. biuncinata Lem., Cact. Gen. Sp. Nov.: 96. 1839 syn. sec. Guzmán & al. 2003
- =Cactus uncinatus (Zucc. ex Pfeiff.) Kuntze, Revis. Gen. Pl. 1: 261. 1891 syn. sec. Guzmán & al. 2003
- =Neomammillaria uncinata (Zucc. ex Pfeiff.) Britton ex Rose, Cactaceae (Britton & Rose) 4: 140. 1923 syn. sec. Guzmán & al. 2003
- =Mammillaria uncinata var. bihamata (Pfeiff.) Backeb., Cactaceae (Backeberg) 5: 3143. 1961 syn. sec. Guzmán & al. 2003