The work is devoted to the study of the main types of innovations in the sphere of higher education. The following types of innovations are considered: innovations of technological and organizational type; innovations of educational and pedagogical type; innovations of structural and pedagogical type; innovations of economic and market type. Also analyzed innovative information technologies, information and innovation management, as well as innovative marketing are widely used in the management of innovative activities in education. They are combined into a group of means and tools for managing innovative activities in education. They can occur in almost all types of innovations in the education system, which can lead to innovative changes to achieve new quantitative and qualitative education parameters. The analysis in the article of some types of innovations in the higher education system shows that they can lead to innovative changes. These are organizational-type innovations in the field of higher education; educational and pedagogical innovations in the higher education system; means and tools for managing innovative activities in education; innovations to solve problems of forced or emergency distance learning, etc. Also are important innovations in higher education related to the protection of life on Earth (environmental, resource-saving and alternative fuels, food security, health care, population control, etc.), as well as new types of innovations in higher education and science caused by global changes, extraordinary and force majeure circumstances. The authors argue that the prospect of building a knowledge society with an innovation-oriented type of economy in any country requires a profound reform of the national economy humanitarian sphere, innovative development of higher education system, science and scientific-technology activity. This should be done on the basis of reasonable combination of the best foreign experience with national traditions. The results of the research can be useful both for specialists in the field of higher education and science, as well as for students, postgraduates, and researchers in the field of innovative activity and innovative development.