The law enforcers noted that in Minsk, the protesters gathered in groups in different districts of the capital.
Minsk police said on Sunday that around 250 people were taken into police custody during the protests in the capital.
Belarus' opposition has alleged the election was rigged and that Lukashenko's main challenger, Sviatlana Tsikhanouskaya, who is in exile in Lithuania, was the true victor.
"Grandmothers and grandfathers will go all the way to a victory", one banner read.
Belarus has been swept by mass protests that were triggered by President Alexander Lukashenko's reelection to a sixth term in office by a landslide in the August 9 election that the opposition said was riddled with fraud.
Tikhanovskaya fled to European Union member Lithuania shortly after the August vote and has received support from several Western leaders, who refuse to recognise the election results. Police used stun grenades, tear gas and truncheons to disperse the rallies. The Viasna human rights center put the number of detainees at 424.
On Saturday, Tsikhanouskaya, who left the country soon after the election under pressure from the authorities and is now in exile in Lithuania, extended her support to the protesters. We have come a long, hard way together already.
In recent weeks, authorities imposed an intense crackdown in which hundreds were detained and protesters were prevented from gathering in central Minsk.
"Yesterday in total throughout the country, 313 people were remanded for violating legislation on mass events", the Belarusian Interior Ministry said in a statement.
According to local media, around 20 rallies were recorded on Sunday across the city. "The Lukashenko police are desperately rushing from district to district", said opposition Telegram channel Nexta Live, which has been coordinating the demonstrations.
Riot police were deployed to break up the protests and, as in previous weeks, authorities shut metro stations and blocked mobile phone coverage in an attempt to stop people from meeting.
Mass detentions, as well as the use of tear gas and stun grenades, continued even as protests have grown smaller this month.