Promoting the concept and principles of sustainable development at the micro level requires that industrial companies understand and improve approaches to managing corporate sustainability. Currently, economics does not provide a universal definition of what corporate sustainability is. With regard to the mining sector, corporate sustainability issues reflecting the viability, value, and sustainable development potential of companies have not yet been studied extensively. The article discusses the conceptual foundations of corporate sustainability; the characteristics and a classification of approaches to defining corporate sustainability; and the relationship between corporate sustainability, sustainable development at the micro level, and circular economy. By analyzing the example of Russia, the influence of the mining industry on the environmental, economic, and social development of both a country with a resource-based economy and individual mining regions is shown from the viewpoint of sustainability. The distinguishing features of mining companies, which include natural capital and mineral assets, are studied in the context of promoting corporate sustainability. It is proven that the effective corporate management of ESG factors results in environmental and social influence that goes in line with sustainable development requirements and serves as a foundation for corporate sustainability. A refined definition of corporate sustainability has been formulated, the specific features of corporate sustainability management in mining companies have been determined, and the specific features of corporate social responsibility have been studied. The issue of integrating circular economy elements into the corporate sustainability concept is discussed, and it is claimed that the inclusion of circular business models in the corporate strategies of mining companies will contribute to their corporate sustainable development and boost their contribution to the achievement of sustainable development goals.