Constance Smith is the name of several people. It may refer to:
- Constance Smith (1929-2003), Irish actress
- Constance Adelaide Smith (1878-1938), an Englishwoman responsible for the reinvigoration of Mothering Sunday in the British Isles in the 1910s and 1920s
- Constance Christine "Connie" Smith (born July 11, 1942-disappeared July 16, 1952), a 10-year-old American girl who vanished from Lakeville, Connecticut
- Connie Smith (born 1941), born Constance June Meador, American country music singer and songwriter
This disambiguation page lists articles about people with the same name.
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