Formerly he was a member of the State Duma's Committee on Budget Issues and Taxes, and now He is member of the State Duma Committee on State Building and Legislation.
His father is Vladimir Zhirinovsky, chairman of the LDPR.
He graduated from the Moscow Academy of Law in 1996.As of 12 September 2014, Lebedev was sanctioned by the European Union for voting "...
in favour of the draft Federal Constitutional Law ‘on the acceptance into the Russian Federation of the Republic of Crimea and the formation within the Russian Federation of new federal subjects - the republic of Crimea and the City of Federal Status Sevastopol’."