An extension of the Yang-Huang Real-Time Synchronization Model(RTSM) based on fuzzy clocks is introduced. For ease-ofimplementation of the fuzzy Real-Time Synchronization Model (fRTSM), timed Hierarchical Colored Petri Nets (HCPNs) labeled with Occam code are used. The focus of the timed HCPN model for fuzzy real-time synchronization of networked multimedia communication is in terms of adjusting the timer used in preserving prescribed a priori temporal relationships in the data for multimedia presentations and optimizing the use of the network by a source of media data. The contribution of the fuzzy Real-Time Synchronization model for multimedia communication is its selection of optional work in a multimedia presentation based on the output of a fuzzy clock. A basis for optimized allocation of network bandwidth to senders of multimedia presentations is also built into the RTSM.