Corio is a surname of Italian origin. People with that name include:
- Ann Corio (1909 – 1999), American burlesque performer and actress
- Bernardino Corio (born 1459 – 1519), Italian humanist and historian of the Renaissance
- Frankie Corio (born 2010), Scottish actress in the 2022 film Aftersun
- Girolamo Corio (died 1651), Italian Roman Catholic prelate and Bishop of Parma
- Silvio Corio (1875 − 1954), also called Crastinus, Italian anarchist