The Grid today plays the role of a universal infrastructure for data processing with a great number of services that allow not only solving the concrete applied tasks but also helping to search for necessary resources to collect information about their state and to save and to deliver data. The grid-infrastructure in hand is able to provide the Ukrainian universities, research centres, and virtual laboratories with needed information and required computational resources. As an example, the system of ecological monitoring and telemedicine support for the Chernobyl Nuclear Power Plant area is considered.