Maxim Litvinenko also said he doubted there would ever be a trial for the murder as long as President Vladimir Putin remained in power.
He spoke hours after Lugovoi told reporters in Moscow that British intelligence and businessman Boris Berezovsky were far more likely suspects in Litvinenko's murder.
"[Lugovoi's] comments make me laugh," said Maxim Litvinenko, 24, who lives in Italy. "I don't know with what courage he can now even accuse the British government. It's absolutely absurd."
He said Litvinenko was never completely certain who carried out his poisoning, but he said his brother had named Lugovoi, along with Dmitry Kovtun and Vyacheslav Sokolenko as the most likely suspects. Litvinenko met all three of them at London's Millennium Hotel on Nov. 1, the day he fell ill.
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