Around 8,000 people protested in Moscow and Saint Petersburg on Sunday against what they say were rigged parliamentary polls handing victory to Vladimir Putin's ruling party.

The new rallies come on the heels of a wave of protests that swept Russia last weekend after the opposition and independent observers said Putin's United Russia party cheated its way to a slim majority in December 4 parliamentary polls.

More than 3,000 people attended a rally on Manezhnaya Square near the Kremlin walls organised by the Communist party, the runner-up in the parliamentary elections.

Yury Molodkin said he joined the rally because he was "outraged" by Putin's claims that protesters were in the pay of a foreign state and compared a symbol of the protests against his rule -- the white ribbon -- to condoms.

"I came to listen to people who are ready to fight these liars," the 46-year-old told AFP.

In a live televised phone-in beamed across Russia on Thursday, Putin claimed he wasn't troubled by the largest protests of his 12-year rule and said he first thought the rallies were an anti-AIDS campaign and that its participants had pinned condoms to their lapels.

"He talked like a crime boss," said Molodkin, who noted he had not been to a rally since 1993.

Police put the turnout at the Moscow protest at 3,300 people.

In Russia's second city of Saint Petersburg protesters chanting "Russia Will Be Free!" and holding signs such as one reading "Give Back My Vote!" also said they were offended by Putin's claims they were hired to protest.

"It's a ridiculous idea that people get paid for coming here," said Sergei, a student and one of some 5,000 protesters who gathered in the central Pionerskaya square.

"Clearly everyone is tired of the lies coming from the authorities," said Sergei, who held a sign reading "I Was Asked to Stand Here for $10".

More than 50,000 people gathered in Moscow last weekend in the biggest show of popular anger since the turbulent 1990s. The next major opposition protest in Moscow is scheduled for Saturday.

Both Putin and President Dmitry Medvedev have rejected the protesters' claims of mass violations during the vote, with Putin also accusing US Secretary of State Hillary Clinton of sparking the rallies by questioning the vote's legitimacy.

The newly elected lower house of parliament, the State Duma, is scheduled to convene for its first session on Wednesday.

The protests come less than three months before March presidential polls in which Putin is widely expected to reclaim his old Kremlin job.

Amid the worst legitimacy crisis of his rule, Putin's approval ratings have however taken such a dive that he will not be able to secure victory in the first round, the most recent polls showed.