He was elected to the Duma in December 2003 as a member of the Rodina faction and is currently Chairman of the Great Russia Party.
Before being elected to the Duma he was a university lecturer, and had been involved in a number of nationalist and patriotic political organisations in Russia.
He was elected to the Moscow City Duma in 1990 and worked on Alexander Lebed's campaign for the Russian Presidency in 1996.
He gained some notoriety in 2004 when he was involved in a brawl with the leader of the Liberal Democratic Party of Russia Vladimir Zhirinovsky.
Savelyev gained further recognition when, alongside Rogozin and three other Rodina deputies, he went on hunger strike to protest against changes to the system of social welfare in Russia.