Saward (pronounced say-wood) is an English surname. Notable people with the surname include:
Eric Saward (born 1944), BBC script writer best known for his work on the Dr Who series
Joe Saward (born 1961), British journalist and author best known for his work on Formula 1 and motor sports
Michael Saward (priest) (born 1932), Church of England priest and hymn writer
Michael Saward (British Army officer) (1841–1928), British general and governor
Michael Saward (political theorist) (born 1960), Australian political theorist
John Saward (born 1947), Roman Catholic theologian who converted from the Church of England
Jill Saward (1965–2017), advocate for victims of sexual crime, rape law reformer
Jill Saward (singer), lead singer of Shakatak
James Townsend Saward (born 1799), Victorian English forger and barrister
Pat Saward (born 1928), Republic of Ireland footballer who played for Crystal Palace, Millwall and Aston Villa
William Saward (born 1900), British track and field Olympian