The article gives a difference between globalization of forms and globalization of the rules. The first one leads to the uniformity of higher education. Unification in the frame of Bologna Process has forced the EU to build an education system on the Anglo-American model, which violates the sovereignty and traditions. Proposed here another type of globalization, the sameness of rules, does not violate the sovereignty, preserving the features of shape, but offers a universal adherence to the rules, filling the old form by different content. The article examines the 4 rules of the globalization of higher education: academic freedom, employment security (tenure), university autonomy and internal democracy. We have got a global principals and a variety of forms from country to country. These rules are functionally interrelated principles of education management. Academic freedom without reliable procedures of selective screening of persons that able to engage in scientific work, will lead to the stagnation of the scientific process. But once granted academic freedom needs to be protected by employment security (tenure). Tenure, in turn, is a condition of the formation of scientific schools, ensuring the continuity of cooperation of scientific work that is not possible with short-term employment contracts and the constant movement of scientists between universities. Internal democracy and appointment by-election allow controlling the university administration. We need to return to four interrelated concepts to be successful in concurrence. Compliance with the rules while maintaining the traditions and cultural features of university management allows us to maintain the process of reproduction the diversity as a basis for true unity.