Networks of today are passing through a rapid evolution. The broadband ISDN (B-ISDN) which offers a wide variety of telecommunication services is considered to be a powerful future network which can satisfy the demands of users and the network providers. Even the network speed is increased very fast and by using DWDM technology the Terabit/s speed is possible in the near future, the costumers request are increasing and new multimedia applications which need large bandwidth will appear in the future. For this reason control of user traffic will be very important to keep the Quality of Service (QoS) of other already established connections by detecting violations of negotiated parameters and taking appropriate actions. In this paper, we propose a Fuzzy Policing Mechanism (FPM) for multimedia applications. We consider the case of still picture source control. The performance evaluation via simulation shows that the FPM efficiently controls the mean cell rate of the still picture source. We will extend this study for other multimedia applications such as video sources.