The article studies the dynamics of the corporate accelerator model development in Russia from 2013 to 2020, the existing model of corporate acceleration and subsequent introduction of the start-up product in the corporation, as well as the structure of Russian corporations’ demand for innovation solutions of start-ups. The low level of Russian business digitalization in comparison with EU countries, dropping dynamics since 2013 of the specific weigh of innovation products and services in the total volume of sold products and services and the growing activity of corporations in the field of innovation in 2016–2019 stipulate a high potential of corporate innovation development in Russia. By studying 54 programs of corporate acceleration the author identified the key models of corporate accelerators’ organization in Russia and showed the growing dynamics of their development since 2018. For deeper investigation of the mechanism of start-ups and corporations interaction in the context of corporate accelerator through system analysis the article provides the model of organizing corporate accelerator and pilot launch of joint work of start-up and corporation on the basis of reports by spokesmen of Russian corporations at conferences and webinars. Based on open information about 72 innovation projects and experience of interaction of Russian corporations from telecommunications and finance fields the structure of corporations’ demand for highlytechnological solutions of start-ups was identified. Through classification methods the author described the demand in view of methods of technology introduction, the sphere of using technology in the corporation and key technologies applied in innovation solution of start-ups.