Abstract: It is necessary to have a revolutionary party for revolution.To give a full display for party's leadership and keep party's solidarity and unification,the central party must have a strong political core.Without the core our party wouldn't stand the test of difficulties.The nucleus position has been formed and founded consciously by our party,and is the embodiment of the whole party's will.We should correctly and consciously handle the relationships between the core and leadership collective.Jiang Zemin is the core of the third generation of leadership collective.He continues to act as the chairman of central committee of military affairs,which doesn't conflict with the principle of "party is in command of gun".