Askey is a surname. Notable people with the name include:
Arthur Askey (1900–1982), British comedian
Anthea Askey (1933–1999), English actress
Colin Askey (born 1932), English footballer
Gil Askey (1925–2014), American jazz trumpeter, composer, producer and musical director
John Askey (born 1964), English footballer
Richard Askey (born 1933), American mathematician
Tom Askey (born 1974), American ice hockey goaltender