He began his career as a machine worker at a nitrogen-fertilizer plant in the city of Kemerovo (1966–1969).
From 1974 to 1976 as a conscript of the Soviet Army, he worked on the construction of the Baikal-Amur Mainline.
From 1976 to 1982 he was master, foreman, chief engineer of the site, head of the site in the building and assembly department of the Sibakademstroy trust (Belokurikha, Altai Krai).
In 2000-2002 - first deputy chairman of the Government of Khanty-Mansi Autonomous Okrug.
On 24 March 2002, Aseev was elected member of the 3rd State Duma of Russia in the by-election in the Nizhnevartovsk constituency No.