Cury is a surname derived from the Latin word curia. It may refer to:
- Augusto Cury (born 1958), Brazilian physician, psychiatrist, psychotherapist and writer
- Brian Cury, founder and CEO of Earthcam
- Guy Cury (1930–2018), French hurdler
- Joe Cury (1928–1977), owner of the Mandarin Super Market and a resident of Mandarin, Florida
- Michel Cury Neto (born 1981), Brazilian footballer