Implementation and use of heterogeneous Multi-zone Cloud infrastructure that integrates various types of computing resources are described. It is shown the necessity of the development of computer infrastructures and services that are focused on supporting Open Science initiatives and offering conditions for solving complex problems with high demands of computing resources. Approaches to the deployment of complex cloud infrastructures, their configuration, and administration are presented. The described computing infrastructure has an important role for the research community of Moldova in using the performances of the creating European Open Science Cloud resources and services.