Cancio is both a given name and a surname. Notable people with the name include:
People with the given name
- Cancio Garcia (1937–2013), Filipino lawyer and jurist
People with the surname
- Hiram Rafael Cancio (1920–2008), American judge
- Hugo Cancio (born 1964), Cuban-born American businessman and political activist
- Leopoldo Cancio (1858–1927), Cuban politician and economist
- Raúl Cancio (1911–1961), Spanish actor
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