Lugovoy eyes run for Sochi mayor
Lugovoy, a former Russian security officer, was elected to Russia's State Duma in 2007 as a member of the Liberal Democratic Party.
Lugovoy has rejected suggestions his election could prompt Britain and a number of other countries to boycott the Olympics.
He remains Britain's chief suspect in the murder of Aleksandr Litvinenko who died of polonium-210 poisoning in 2006, shortly after meeting Lugovoy.
Moscow has repeatedly refused to hand Lugovoy over to UK authorities for trial, saying his extradition is outlawed by the Russian constitution.