Cyperus bipartitus Torr. in Ann. Lyceum Nat. Hist. New York 3: 257. 1836 sec. Govaerts 2013
- =Cyperus rivularis Kunth, Enum. pl. 2: 6. 1837 syn. sec. Diego & González 2008
- =Cyperus lagunetto Steud., Syn. pl. glumac. 2: 5. 1854 syn. sec. Diego & González 2008
- =Cyperus rivularis var. acutatus C.B. Clarke in J. Linn. Soc., Bot. 21: 66. 1884 syn. sec. Diego & González 2008
- =Chlorocyperus rivularis (Kunth) Rikli in Jahrb. Wiss. Bot. 27: 564. 1895 syn. sec. Diego & González 2008
- =Pycreus lagunetto (Steud.) C.B. Clarke in Bot. Jahrb. Syst. 30: 8. 1901 syn. sec. Diego & González 2008
- =Pycreus rivularis (Kunth) Palla in Allg. Bot. Z. Syst. 13: 48. 1907 syn. sec. Diego & González 2008
- =Pycreus bipartitus (Torr.) C.B. Clarke in Kew Bull., Addit. Ser. 8: 2. 1908 syn. sec. Diego & González 2008
- =Cyperus rivularis f. acutatus (C.B. Clarke) Kük., Pflanzenr. IV. 20 (Heft 101, 3): 383. 1936 syn. sec. Diego & González 2008
- =Cyperus rivularis subsp. lagunetto (Steud.) Kük., Pflanzenr. IV.(20 Heft 101): 383. 1936 syn. sec. Diego & González 2008
- =Cyperus rivularis var. lagunetto (Steud.) O'Neill in Rhodora 44: 86. 1942 syn. sec. Diego & González 2008
- =Cyperus niger var. rivularis (Kunth) V.E. Grant in Aliso 4: 87. 1958 syn. sec. Diego & González 2008