In recent years, interest in the Arctic regions has grown. Global corporations, policymakers, and research scientists became interested in the Arctic, as the climate in the Arctic regions changes and as the consequences in the global world directly or indirectly extend to all countries. The desire to understand and manage the new economic opportunities associated with the vast natural resources of the Arctic regions is common among all interested parties. However, the achievement of economic goals depends on many factors. It should be noted that among the factors facilitating economic development, we should consider important the factors of development of local communities and local entrepreneurship, and observation of the principles of green economy. In recent years, Russian and foreign Arctic research scientists have published a significant number of articles on the study of the Arctic regions and the development of entrepreneurship. The purpose of this work is to study entrepreneurship in the Arctic regions by analyzing Russian and foreign scientific publications. A common negative demographic factor for the Arctic regions is the change in the structure of the population, so the development of entrepreneurship can be considered important for the development of the Arctic regions, capable of providing livelihoods for local residents. The article considers the current conditions for entrepreneurial activity in the Arctic to determine the problems and prospects for the development of entrepreneurship in the Arctic regions from the point of view of green economy. In the article, the authors offer advice on engaging in entrepreneurial activities in the Arctic, following the principles of sustainable development and adhering to the principles of a green economy.