Mr Begley said nationalist councillors had already made a gesture to unionists by agreeing to move the date of the parade to Monday, because St Patrick's Day had fallen on a Sunday.
Mr Justice Coghlin heard submissions at the High Court on behalf of families opposed to the route of the St Patrick's Day parade before dismissing the application.
The west Belfast based Feile an Phobail (People's Festival) has been the driving force behind the organisation of Belfast's St Patrick's Day parade since 1997.