Sheedy is a surname. Notable people with the surname include:
Ally Sheedy (born 1962), American screen and stage actress
Jack Sheedy (Gaelic footballer) (21st century), former Dublin senior football player
Jack Sheedy (Australian rules footballer) (born 1926), East Fremantle Football Club player
Kevin Sheedy (Australian footballer) (born 1947), former coach of AFL club Essendon
Kevin Sheedy (Irish footballer) (born 1959), Republic of Ireland footballer
Liam Sheedy (born 1969), Irish hurling manager and former player