Russian economy has reached the low level of inflation, but economic growth has not accelerated. Moreover, according to official forecasts, in the following years it will still be low. The article concludes that domestic demand, which is one of the main factors of growth, is significantly constrained by monetary, budgetary and fiscal spheres. The situation in the Russian economy is still hampered by the decline of the world economic growth. The prospects of financial markets are highly uncertain. This increases the possibility of crisis in the world. Leading countries widely use non-traditional measures to support their economies in the similar environment. In the world economy as well as in Russia a principally new combination of factors has emerged, which create specific features of economic growth. It requires special set of measures to stimulate such growth. The article proves that Russian regulators have large unused potential to stimulate growth. It includes monetization, long-money creation, budget and tax stimuli. It is important that the instruments, which will be used, should be based on domestic mechanisms. This will strengthen financial basis of the economy and may encourage economic growth. Some specific suggestions as to their use are made.