On the basis of a positive and contrasting comparison, as well as content analysis of new constitutions and fundamental amendments to them the changes in their content, which occur as a result of the modernization, integration and globalization are considered. Modernization and economic (in fact, the economic and political) integration of states leads to the creation of a new form of supranational public legal formation with a different quality of public authorities and supranational law (the most prominent example is the European Union), as globalization leads to the spread of the general regulations of constitutional development in new countries and peoples. The processes of internationalization of the constitutions, the new phenomenon of constitutional convergence, harmonization and antagonisms on a world scale are appeared. Constitutional globalization is seen as the most general direction of development of the constitutional law of the world countries. Modernization and economic integration of states often involves the adoption of the principal amendments to the Constitution, “the Basic Law”, or even the whole constitution in the Muslim fundamentalism countries, where such a document as the Constitution, previously was considered unacceptable and was replaced by the Quran and Sunnah. In the countries of totalitarian socialism the processes of convergence has occurred (on the aspects of regulation of economic relations), but there is no harmonization, there are antagonisms with the constitutional decision of the basic questions of social and political system. In the states — members of the European Union the traditional position of the State Sovereignty is revised, new views on the national and supranational authorities are appeared. The mutual influence of international, supranational (so far only in the EU) and constitutional law takes place.