Aslett is a surname. Notable people with the surname include:
Alfred Aslett (1901–1980), English rugby union player Derek Aslett (born 1958), English former cricketer who played for Kent County Cricket Club between 1981 and 1987 Don Aslett (1935–2024), American entrepreneur and author who specializes in cleaning and housekeeping products, services, and techniques Robert Aslett (1754–unknown), English banker, assistant cashier at the Bank of England