The phenomenon of collective intentions is a controversial issue which is widely discussed in philosophy of action, philosophy of mind, moral philosophy and philosophy of social science. Philosophers hold different views on the nature of this phenomenon. There exist two major schools of thoughts concerning collective intentions: individualism and collectivism. John Searles nonreductive individualism is an important contemporary contribution to the discussion. After introducing some challenge to Searles concept of collective intentions, this paper aims to point out the flaw of Searles account lies in its failure to recognize that mutuality is an indispensable feature of collective intentions.