Cairde na hEirean has called off its planned march through Denny on June 2.
The civic licensing committee of Falkirk Council was scheduled to meet on Friday to discuss whether or not the event should be allowed to go ahead.
That meeting has now been cancelled after the Glasgow-based group withdrew its application on Wednesday.
Cairde na hEirean, which describes itself as the national framework for Irish Republicans in Scotland, previously organised a procession in Denny in April last year, which attracted around 400 participants from across Scotland.
That event was held to campaign against anti-Irish racism. It is unclear what the intention of the planned march in June was.
More than 150 comments objecting to application had been received by Falkirk Council by May 15.
Of these, 82 objected specifically to the event taking place on the weekend of the Queen’s Diamond Jubilee celebrations.
An online petition against the march was also submitted, which contained more than 700 signatures, although many of these are thought to be from people living outside the district.
The march had been opposed by Denny & Dunipace Community Council on the grounds of timing and the potential disruption it would cause to local businesses.