Belfast's seniorpolice commander, Assistant Chief Constable Duncan McCausland, said both the marchers and those opposed to the parade had been "constructive and positive in their approach".
Operational responsibility for the day-to-day policing that matters most to people on the doorstep (crimes against the person, burglary and anti-social behaviour) remains with seniorpolice officers headed by the chief constable.
Four seniorpolice officers - including Northamptonshire's chief constable and deputy chief constable - are being investigated over misconduct claims relating to Staffordshire Police's investigation into the murder.
She said the Police Service of Northern Ireland's Chief Constable Matt Baggott believed senior members of the Ulster Volunteer Force (UVF) had been involved in orchestrating the violence, but without the authority of the group's leadership.