Evolution of Russian political system on its current stage is characterized by search for a model capable of preserving and maintaining stability of its institutions, as well as achieving higher levels of political competition. This problem could be solved by forming a bipartisan model under which, from the one side, the winning party gains the full authority for implementation of its policy; from the other side, strong opposition serves as a factor containing authoritarian tendencies. In the author’s opinion, despite the stereotypes, bipartisan system can be formed in Russia. The author analyzes key challenges of Russian political system, advantages of a bipartisan system, Western experience of bipartisanship.