The process of developing innovations in established companies is constantly changing. Initially treated as a form of differentiation from other companies through large investments in Research and Development (R&D), currently, there is a significant change and breaking of old paradigms to intellectual property and the development of new products, services, and solutions. In this environment of greater openness and establishment of new relationships with established companies, start-ups, human institutions that develop new products and solutions in contexts of extreme uncertainty, applying lean processes and teams. Considering this new form of enterprise creation, established companies start interacting and seeking value through new forms of relationship. These include startup accelerators, an instrument used through a short-term program that helps startups get up and running quickly, using access networks, and sometimes including financial investment aimed at the financial return and the development of new products where, due to operational inefficiency and high bureaucracy, established companies cannot develop on their own. Despite connecting two antagonistic and paradoxical worlds for the best of both, accelerators, because of the scarcity of qualified academic material and because they are recent in the corporate world, have challenges that are not yet unraveled or explained. One of them relates to how accelerators select startups to integrate their investment portfolio. Aiming to answer this gap, the present work, through literature review and research including multiple case studies, seeks to answer what are the criteria used by accelerators to choose startups, as well as to search other relevant evidence considering the Brazilian reality. Thus, the present paper presents what are the characteristics of accelerators found in the literature, how they are classified and how the study took place over time and also to compare the studies with the Brazilian reality, presenting what the state of practice does. what the relationship between corporate practice and the theoretical study of the subject.