The west Belfast based Feile an Phobail (People's Festival) has been the driving force behind the organisation of Belfast's St Patrick's Dayparade since 1997.
Mr Justice Coghlin heard submissions at the High Court on behalf of families opposed to the route of the St Patrick's Dayparade before dismissing the application.
The Irish government has told hauliers they will need special permits to move animals from any farm, more soldiers have been called in to guard the border, and this month's St Patrick's Dayparade in Dublin, due to take place on March 17, has also been called off.
The relatives had challenged the commission's ruling not to impose any restrictions on a nationalist parade through the town on St Patrick's Day, 17 March.
Unionists are no longer represented on Belfast City Council's St Patrick's Day Carnival Committee since a flags dispute shortly before the parade led to their withdrawal earlier this year.
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.