Several thousand people have taken to the streets of Moscow shouting "Down with Putin" as international observers in Russia's parliamentary elections speak of flagrant violations.
Some scuffles were reported and Russian police said they had detained more than 300 protesters.
The OSCE says the vote was slanted in favour of Prime Minister Vladimir Putin's party, United Russia.
President Dmitry Medvedev insisted the election had been fair and democratic.
However, a White House spokesman, Jay Carney, expressed "serious concerns".
United Russia won the election, but with a sharp drop in its support, ahead of Mr Putin's bid to return to the presidency next March.
Electoral officials said the party had just under 50%, down from 64% in 2007.
United Russia lost 77 seats, in a vote which is being seen as a popularity test for Mr Putin.
The OSCE noted apparent manipulations in the conduct of the election, such as the stuffing of ballot boxes.
'Crooks and thieves'
On Monday night, several thousand people protested in central Moscow against PM Vladimir Putin, and demanded honest elections.
They denounced the vote as shameful, and shouted "Russia without Putin!" and "Revolution!"
Correspondents say it appeared to be one of the biggest opposition demonstrations in central Moscow in years.
Police said they detained more than 300 people protesting against Mr Putin and his party, United Russia.
"They are a party of crooks and thieves," said popular anti-corruption blogger Alexei Navalny, who was one of those arrested in Moscow.
Mr Navalny later put out a tweet saying he was "sitting in a [police] bus" and photos were posted of him, apparently being held at a police station.
About 100 opposition protesters were detained in Russia's second city, St Petersburg, after holding an unauthorised rally on the main avenue, Nevsky Prospekt.
'Like a game'
Reading a communique, an official from the Organisation for Security and Co-operation in Europe (OSCE) said the election had in general been "well organised" but there were severe problems with the counting process.
"The contest was also slanted in favour of the ruling party, the election administration lacked independence, most media were partial and state authorities interfered unduly at different levels," said Petros Efthymiou.
Another observer, Heidi Tagliavini, said the elections had suffered because several opposition parties were barred from taking part.
"To me, this election was like a game in which only some players are allowed to compete," she said.
The OSCE report prompted US Secretary of State Hillary Clinton to express "serious concerns" about the conduct of the election.
Vladimir Putin is facing a slump in popularity that he has not experienced since the Kursk submarine disaster of 2000.
There are still many in Russia who do not blame him for the rampant corruption and the stagnant economy.
But he is the leader of United Russia, and support for the party has fallen significantly in these Duma elections, which inevitably reflects badly on him.
Opposition parties have also complained of violations.
The Communist Party said it was preparing to challenge the "absolutely illegitimate" result in court, the RIA news agency said.
Russia's only independent monitoring group, Golos, says it has logged 5,300 complaints alleging violations.
Embarrassment
Electoral Commission head Vladimir Churov said United Russia should have a slim majority, with 238 seats out of 450.
This would mean the party losing its current two-thirds majority which had allowed it to change the constitution unchallenged.
Mr Churov said the Communist Party was in second place with 19.2% of the vote, giving it 92 seats.
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United Russia's slim Duma majority
The Duma has 450 seats. Parties not making the Duma's 5% threshold: Yabloko, 3.3%, Patriots of Russia 0.97%, Right Cause 0.59%
Source: Electoral Commission. Results are based on 96% of the vote. Turnout was 60%.
A Just Russia was in third place with 13.2% and 64 seats, and the nationalist Liberal Democratic Party of Russia (LDPR) had 11.7% and 56, he added.
The BBC's Steve Rosenberg, in Moscow, says that, if confirmed, the result will be a significant embarrassment to Mr Putin, three months before he is scheduled to run again for the Russian presidency.
But President Medvedev, who headed the United Russia party list, said that despite the slump in its vote, he was looking forward to working with the new parliament.
"A tragedy has not taken place," he said.
"On the contrary, in my view, everything is quite decent and respectable.
"I for one am glad that we shall have a merrier parliament because we understand that truth can emerge only from a debate."
Mr Putin served as president from 2000 to 2008 but was prohibited by the constitution from running for a third consecutive term.
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