Protests calling for the country’s authoritarian leader to resign also took place in major cities throughout Belarus, said Interior Ministry spokeswoman Olga Chemodanova.
Crowd sizes for those protests were not immediately reported, but Ales Bialiatski, head of the Viasna human rights organisation, said the demonstration in Minsk attracted more than 100,000 people.
The protests, unprecedented in Belarus for their size and duration, began after the August 9 presidential vote that election officials said gave Mr Lukashenko a sixth term in office with 80% support.
Protesters say the results were rigged, and some have explained to Associated Press journalists exactly how the fraud took place in their districts.
Mr Lukashenko has ruled the country with an iron fist since 1994, regularly repressing dissent and press freedom.
Police violently cracked down on demonstrators in the first days of the protests, arresting some 7,000 people and beating hundreds.
Although they have scaled back, detentions continue; Viasna reported scores of people were arrested in Minsk and in the city of Grodno on Sunday.
Police and army troops blocked off the centre of Minsk on Sunday, but demonstrators marched to the outskirts of the Palace of Independence, the president’s working residence three kilometres (two miles) outside the city centre.
The palace grounds were blocked off by phalanxes of shield-bearing riot police and water cannon.
Maria Kolesnikova, a leader of the Co-ordination Council set up by the opposition to try to arrange a dialogue with 66-year-old Mr Lukashenko about a transition of power, said: “This sea of people cannot be stopped by military equipment, water cannons, propaganda and arrests.
“Most Belarusians want a peaceful change of power and we will not get tired of demanding this.”
Mr Lukashenko has rejected any discussion with the council, and some of its top members have been jailed.
One of them, Olga Kovalova, was expelled from the country over the weekend, driven to Poland by police.
Despite the stalemate between Mr Lukashenko and the opposition, protesters say they are determined not to tire.
Some of the placards they carried on Sunday showed a lively sense of humour.
“Lukashenka, start building a house near Yanukovych,” read one, referring to former Ukrainian president Viktor Yanukovych, who fled to Russia in 2014 after months of anti-government protests.
“The collective farm went bankrupt,” said another, evoking Mr Lukashenko’s former position as a collective farm director and his retention of a largely state-controlled, Soviet-style economy for Belarus, an Eastern European nation of 9.5 million.
Authorities have also revoked the accreditation of many Belarusian journalists and deported some foreign journalists, including two Moscow-based Associated Press journalists.
The AP’s Belarusian journalists were among those told their press credentials had been revoked.
