The purpose of the paper is to investigate accelerators as a new element of interaction between universities, business and state. This process can be used for improving entrepreneurial education, which increases the innovation potential of universities. The study uses methods of analysis and synthesis, systematic approach, method of classification, method of comparison and method of measurement. The need for massive changes in higher education is proved. Also, increased attention to entrepreneurial education and involvement of business representatives community in educational process is needed. This proposed accelerator is the most perspective cooperation instrument between business, universities and state itself. Mainly it can be used in the process of entrepreneurial education improvement and innovative potential development. Different types of accelerators under the concept of "creation initiator" are considered. The examples of such accelerators worldwide and in Ukraine are investigated. It is proved that the most attractive option would be to create an accelerator on the basis of a university. That would combine financial, production, intellectual and other capabilities of several large companies with the innovative potential of the university. All participants will receive positive results. It was found that the distinctive feature of a university accelerator lies not only in its business orientation, but also focuses on the development of teaching and training materials, which can be scaled to accelerators in other universities.