At least 29 people have been arrested during opposition protests in Moscow, the second Sunday in succession to see such demonstrations, the BBC reported.
Last week, at least 500 people were held during protests across Russia, reportedly the largest in five years.
The opposition has called for the resignation of Prime Minister Dmitry Medvedev over corruption allegations.
A smaller group of about 100 people began marching through Moscow on Sunday, but were blocked by police.
Those who organised the protest via social media are now facing an investigation.
Last Sunday's demonstrations were prompted by main opposition leader Alexei Navalny, who was later arrested.
Navalny had published reports claiming that Medvedev controlled mansions, yachts and vineyards - a fortune that far outstripped his official salary.