One of the mechanisms for enhancing innovative processes in the industry is the application of the concept of the “four-link spiral”. In contrast to the 3-link spiral, this model as one of the most important components includes a “society”, acting as one of the actors of innovative transformations. Firstly, it is society that is the main consumer of innovative products being created and, thereby, establishes “requirements”, forming demands for the quality and parameters of future products; secondly, society, in turn, acts as the initiator and generator of innovations, forming the so-called “social capital” necessary for the implementation of directly innovative transformations. In this scientific work, the problems of the formation of a “smart specialization” strategy for the innovative development of the industrial sector of the national economic system based on the application of the four-link spiral concept are investigated. A system of quantitative indicators for assessing the innovative level of industrial development is presented. The experience of introducing the concept of a four-link spiral as a mechanism of innovative development of industry (on the example of the Republic of Belarus and the Russian Federation) is given. The aim of the article is to describe innovation processes in the Russian Federation and the Republic of Belarus and to develop an innovation transfer model.