AfriForum was on Friday denied leave to appeal Deputy Judge President Phineas Mojapelo's ruling that the gratuitous display of the apartheid flag was banned.
The application was heard in the Equality Court, at the Gauteng South High Court.
Advocate Mark Oppenheimer who appeared on behalf of AfriForum argued that the appeal would be successful in a different court more so because the ruling was binding on all South Africans.
Proceedings were brief and barely lasted 30 minutes.
Judge Mojapelo said the appeal may only be given where there is some compelling reason that it should be heard.
"Having considered the grounds of the appeal and arguments of counsel without reiterating parts of the judgement, the appeal is dismissed."
He added that he was not convinced by AfriForum that a different court would arrive at a different determination.
- African News Agency (ANA)