In satellite communications systems with multiple-spotbeams, conventional algorithms for satellite resource allocation is suitable for the guaranteed services, which allocate satellite resources to spotbeams to meet the number of required frequency channels as much as possible. In recent years, many kinds of best-effort services are widely spreading in accordance with the explosive growth of the Internet. For the best-effort services, it would be quite significant to keep resource allocation fairness among spotbearns and/or different services. Then, we propose a new satellite resource allocation algorithm that takes account of the fairness among spotbeams. As a measure of fairness, this paper introduces the concept of a degree of satisfaction for each spotbeam. Our algorithm is compared with the conventional algorithm for guaranteed services through simulations and characteristics for both algorithms are discussed.