Innovation has been pointed out as one of the main tools for the countries' economic development facing globalization. For economic growth to happen in an egalitarian way, it is necessary to strengthen, expand, consolidate and integrate a country's research and innovation capacities, that is, strengthening its National Science, Technology and Innovation System. In this system, it is primordial that t there is a close relationship between research institutes, ST & I developers, and companies, especially small and medium-sized enterprises (SMEs), considered to be key players in the socio-economic development of countries. Brazil already presents initiatives that seek to strengthen relations and encourage the development of technology among these actors. This article aims to discuss the relationships between the CT & I sector and its relations with SMEs, especially in Brazil, so that together they allow the development of the economy. For this, a brief literature review was carried out, which was structured in: Relation between ST&I and the national development, where will be treated some countries experience and where brazilian hystorical process will be shown; The importance of SMEs for a country economic growth, where the relations between ST&I and SME will be treated and also its indicators. Despite the innovation power for the development of the countries economies is in constant discussion, it is still a need for discussion between companies and SMEs as a fundamental relation for the growth of companies and consequently for the socio-economic growth, since as SMEs are today driving forces for development. For the central dialogue current in Brazil, the proceedings of these countries between ST & I and companies are required.