The decision followed the Pegida rally on October 3, the German Unity Day, that was not authorized and held in a place where all demonstrations are prohibited.
Bachmann vowed to appeal against the decision and said that he would take part in further rallies.
"I can reassure you, of course Sigi [Siegfried Daebritz] and I will be able to organize our rallies in Dresden!" he wrote on his Twitter page.
In May, a district court in Dresden said Bachmann would have to pay 9,600 euros ($11,000) for inciting hatred by insulting refugees on Facebook.
Pegida emerged in October 2014 in the eastern German city of Dresden, where it attracted hundreds and later thousands of supporters during weekly anti-Islamization marches.