In the recent years the mobile telecommunication networks have gone through on a big development. The services of the systems have been extended very quickly, such as the number of the subscribers. The various multimedia and Internet systems have become quickly the part of our life. This phenomenon takes effect on mobile communication, too. The third-generation mobile networks could be the solution, which eliminate the defects of current systems and apply good solutions concerning both access and transport system. These 3G systems are able to meet the growing user demands and the mobile Internet requirements. Our goal is to use the scarce resources as efficiently as possible. We implemented a new, more efficient and faster call admission control than former methods. Our algorithm is able to be adapted directly for 3G mobile networks.