Parallelization of the Porsching algorithm for the numerical integration of hydraulic network conservation equations is described, and a theoretical analysis of the performance of the parallelized algorithm on a MIMD-type parallel computer is given. It is shown that good speedup and efficiency of parallel processing can be achieved by using a quasi-MIMD mode of operation employing (a) a master/slave configuration of processors, (b) message passing for data communication, (c) global synchronization of all processors before data communication, (d) a simple time-shared bus with data broadcast facility as the interconnection network, and (e) distributed communication memories for data communication.