William Hague, the Conservative MP in whose constituency the hospital is located, said the maternity service plans were "a serious blow" to local residents.
Member of Parliament David Lammy called on the BBM service to be suspended, pointing out that many rioters who hit his constituency came from far away.
Labour MP David Lammy, whose Tottenham constituency was the first to be affected by the violence, called on Blackberry to close their BBM service until the streets were made safe.