Parades Commission Chairman Peter Osborne has called for constructive dialogue on parades in Northern Ireland, especially in Belfast.
It follows violence in the city centre on Friday night in which 56 police officers and two civilians were hurt.
The violence followed loyalist protests against a republican parade to mark the anniversary of the introduction of internment in 1971.
Speaking on RTÉ's Morning Ireland, Mr Osborne said there had been progress in other parts of Northern Ireland on reaching agreement on the issue of parades.
He cited Derry as an example, where a recent Apprentice Boys loyalist parade passed without incident.
Mr Osborne said it was one of a number of parades that took place there that was supported by a "vast majority of people" following dialogue and agreement.
He said similar dialogue was needed in Belfast, where there was "a degree of intolerance" which has led to violence, although he said there were "relatively small" numbers of people involved.
A controversial republican parade in Castlederg, Co Tyrone also passed off peacefully yesterday.
Several hundred unionists protested at the event which commemorated IRA men killed during the Troubles.