The article analyzes the dissipative system of music education in the context of science synergy. The basic principles of synergetic music education, in general, coincide with the principle of self-actualization of humanistic pedagogy, when the synergetic approach to education and the person is understood as a holistic phenomenon, as a “return to oneself”.The attractors of synergy of music education are determined. The researcher examines the musical consciousness as a particular form of activity of the individual, society, culture and education. New educational concept of asymmetry of hemispheres of the human brain, where synergetics of education is the basis for the development of creative thinking is analyzed.It is proved that the development of music education, at the creative level,forms new horizons, creates new trends, influences understanding of scientific world through synergetic methodology, and promotes awareness of the personality changes. Pondering attractors of synergy of music education we singled out the theoretical modeling of the evolution of the world, the development of which is carried out by sequential changes creating its systems: society – culture – art – music, where culture is the attractor of society, art – of culture, and music is an attractor of art together with superattractor of evolutionary world. Interpenetration is reflected in the system of the comprehension of musical consciousness. Musical consciousness as a dissipative structure, synergetics is a special form of activity of the individual, society, culture, education. The research directed at the individual led to the analysis of the new educational concept of the asymmetry of the hemispheres of the human brain. We revealed the results of the hemispheres’ analysis, which leads to the unity of passive and active behavioral strategies, in a synergetic system of education which is the basis for the development of creative thinking. Hence the synergy does everything a flexible, open, multi-valued. Synergistic effect is a stimulating effect that comes from its own education, its own forces, and potencies.