According to Sport-Express, the agreement between the railway workers and the 27-year-old midfielder is designed for three years.
Kuzyaev is in the status of a free agent after the expiration of the contract with the St. Petersburg Zenit.
Previously it was reported that he wants to pursue a career in Europe.
Earlier it was reported that Andrei Arshavin urged Kuzyaev to refuse to move to Lokomotiv.