The apostrophe could be either used or omitted in both cases. These are all OK:
Council of Ministers' Meeting
Council of Ministers Meeting
ministers' meeting
ministers meetingAs the name of the meeting, usually the noun-noun form rather than the possessive+noun form is chosen, as it saves typeset and looks less cluttered. Of course, in specific context, one may be more appropriate than the other:
The ministers' meeting was raucous with their shouting and name-calling.