The research identifies current innovation systems according to their theoretical and methodological bases. The method used in this work is guided by the review of the literature, interpreted from the foundations of hermeneutics. The results show that the theoretical bases of innovation systems have evolved over time, according to schools of thought, epoch and emerging models co-created by the new era of empirical knowledge, and technology has been responsible for the volatile changes it has had to face, while methodologies are subscribed by innovation in human talent, and adoption of technology, which has sometimes generated barriers to its appropriation for its proper use. The reported findings allow us to conclude that innovation systems favor a sustainable approach to organizations to achieve an economy of scale with emphasis on the implementation of technologies and communication, based on optimization, systematization in the use of resources, elements, and capabilities.