Using the model of delocalized atoms, we propose justification and generalization of the Schmelzer glass transition criterion. In contrast to the Bartenev and Wolkenstein-Ptitsyn approaches, the generalized kinetic criterion of glass transition, along with the relaxation time and the melt cooling rate, shows a glass transition temperature and an almost universal dimensionless constant, which is determined by the fraction of the fluctuating volume frozen at the glass transition temperature. The idea is developed that a liquid passes into a glassy state when its cooling rate q reaches a certain proportion of Cg from the characteristic cooling rate qg=(Tg/Tg), which is closely related to the relaxation time of the structure Tg at the glass transition temperature Tg.

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