The article analyses the competitive challenges of Russian regional economies and proposes ways of selecting competitive priorities. The author assumes that selection of priorities for improving a region’s innovative competitiveness should involve not only its innovative RD potential but also the effects that innovative and socio-economic development of the regions have on each other. This is because a region’s innovative competitiveness manifests itself in both its ability to create innovation and its increased resistance based on such innovation, and, therefore, it is closely related to its industrial and technological type from the outset. The analysis of research and innovative potentials of Russian regions shows that their innovative competitiveness has been deteriorating largely for the reason that modern Russia lacks any significant groups of political influence whose interests would be closely related to the development of the engineering industry, high technologies, and restoration of a sound industrial structure. The article shows mutual dependence between the socially required level of support to the regions’ innovative competitiveness and the innovation requirements of the industries with prevailing levels of technological efficiency. The author proposes a methodological approach to the selection of priorities for increasing the innovative competitiveness of Russian regions. Such priorities should take into account maintenance and enhancement of the research and innovative potentials of the country, on the one hand, and the need to improve regions’ sustainability, on the other hand. With the contemporary statistic base in mind, the author has created an integrated development priority index for regional innovation centers intended to increase the resistance of the manufacturers with various research intensity levels. The article rates Russian regions according to the technological complexity (high, mid, low, resource-extracting) required by the innovation centers to be created taking metallurgy as an example. The author suggests ways to increase the innovative competitiveness of Russian regions of various industrial and technological types. The article is intended for experts in theoretical and practical management of innovation.