It is supposed to consider that the main focus of digital businesses in a green economy and environmental sustainability is the implementation of a relevant and capable strategy of accelerating growth that provides the management system flexibility, which obviously contributes to rapid adaptation to the external environment and guarantee effective realization of the business potential. It is created and visualized the constructive basis for determining the strategy of accelerating digital business growth in a green economy and environmental sustainability. It is conceptualized the model of the determination of the strategy of accelerating digital business growth in a green economy and environmental sustainability as well as interpreted its mechanism. It is developed the matrix of the strategies of accelerating digital business growth in a green economy and environmental sustainability. The approbation of methodological tools allowed retailers to strengthen their competitive advantages due to the ability to quickly respond to any entropic phenomena and, in turn, contributed to the increase of rapid progressive development of their digital business.