This monograph considers the challenges of science globalization, new trends of development in global studies and globalistics boosted by application of the evolutionary approach. Evolutionary globalistics focuses on the study of development and co-evolution of global processes and systems, and on their synergistic systemic phenomenon - global development. The concept of evolutionary globalistics is defined in the context of the universal (global) evolutionism and in terms of transition to new safer forms of civilization development and of interaction of civilization with the nature of the Earth and Space. Special emphasis is placed on methods and approaches used in globalistics, as well as to spatio-temporal expansion of global studies. The evolution of globalistics itself is analyzed, including the development of such areas as political globalistics, legal globalistics, information globalistics, futuroglobalistics, nooglobalistics, cosmoglobalistics and other. Target audience: experts, lecturers, students, post-graduate students, a wide range of readers interested in the issues of globalistics and global studies.