The study examines the peculiarities of the search for a new model of Corporate Sustainability (CS) through the transformation of the CSR strategies of leading Russian companies. The research is based on the empirical data from the new edition of the leading nation-wide research project in the fields of CSR and sustainability — “Report on Social Investments in Russia —2018”. The conclusions are made considering the predominant role of the “Corporate Sustainability 2.0” model with the minor search for the “Corporate Sustainability 3.0” one based on the lack of systemic changes in the very system of Corporate Social Performance as well as on the inadequate cooperation for sustainable development at the industry and cross-sector levels.