Godber is a surname. Notable people with the surname include:
Frederick Godber, 1st Baron Godber (1888–1976), British petroleum company executive Sir George Godber (1908–2009), British physician, Chief Medical Officer of England 1960–1973 John Godber (born 1956), English playwright and screenwriter Joseph Godber, Baron Godber of Willington (1914–1980), British politician and cabinet minister Joyce Godber (1906–1999), British archivist and local historian Lennie Godber, fictional character in 1970s BBC sitcom Porridge Peter Godber (born 1922), British police officer, Chief Superintendent of the Royal Hong Kong Police Force, convicted for corruption Peter Godber (Canadian football) (born 1994), Canadian football offensive lineman W. T. Godber (1904–1981), English agriculturist and agricultural engineer