Fewster is a surname. Notable people with the surname include:
Artie Fewster (1894–1960), Australian rules footballer Bradley Fewster (born 1996), British footballer Brendon Fewster (born 1974), Australian rules footballer Chick Fewster (1895–1945), American baseball player Derek Fewster (born 1962), Swedish-speaking Finnish historian George Fewster (1896–1970), Australian politician John Fewster (1738–1824), British surgeon and apothecary Rachel Fewster, British and New Zealand statistician