Writer Eduard Limonov, leader of the banned National Bolshevik Party, and Garry Kasparov, a former world chess champion who now leads the United Civil Front, met with Deputy Mayor Valery Vinogradov earlier on Wednesday to discuss arrangements for the March of Dissent.
"We were unable to reach an agreement," said Limonov, who was jailed in 2001 on charges of illegally purchasing weapons and served two years behind bars.
The opposition wanted to hold the rally in the very center of Moscow, while the mayor's office would only agree to locations further out.
"In response we argued that a street demonstration is a meeting of people with other people - a desire to influence other people, and that there would be no people in these places," Limonov said.
He added that the March of Dissent was still scheduled to begin at 2.00 p.m. (11:00 GMT) on December 14 in Triumfalnaya Square, a short distance from Red Square.