The purpose of this work is to identify and substantiate the problems of introducing innovations in the university.  For the purpose of the study the following methods are used systematic analysis of philosophical, pedagogical and psychological scientific literature, researching and summarizing of educating experience; the survey. Education badly needs effective innovations of scale that can help high-quality learning outcomes across the system. The primary focus of educational innovations should be on teaching and learning theory and practice, as well as on the teacher readiness to innovative activity. The analysis of the teachers accepts to innovations demonstrate that the implementation of pedagogical innovations accompanies certain problems of future teacher activity during training at the university. Main factors and reasons determining the teachers’ innovation resistance could be considered when preparing them for innovative activity as a crucial factor for modernizing the country’s education system.