The availability is often used to measure how well a system can provide the service continuously. The measures of availability for a single computer and for multiple computers are very different. In this paper, we discuss the objects set availability in the distributed environment especially in the case of P2P environment. The objects set availability is defined and formalized. In the P2P environment, the hosts are divided into groups by their availability values. Objects are evenly distributed among groups. The experiments show that such simple but practical method has good efficiency in achieving high objects set availability.