City Council meetings are conducted each week on Tuesdays at p.m. And Wednesdays beginning at a.m.Sixteen Council Members, along with the Mayor and City Controller, are elected every four years. The city council shall conduct its regular weekly meeting in two daily sessions commencing at p.m. On Tuesday and at a.m. CT the day before the meeting. Accommodations. All agenda items are subject to action. Next, visit the new location to open an agenda and fill out a speaker card online for any action item. General Assembly meetings are open to all University of Houston Staff. Guests are welcome to join any meeting.