Clijsters is a surname. Notable people with the surname include:
Jos Clijsters (born 1950), Belgian banker and chief executive
Lei Clijsters (1956-2009), Belgian football player
Johan Clijsters (1962-2005), Belgian artist and poet
Kim Clijsters (born 1983), Belgian tennis player and oldest daughter of Lei Clijsters
Elke Clijsters (born 1985), Belgian tennis player and youngest daughter of Lei Clijsters