The purpose of this study is to develope the computer program to compute the unsteady, transient flow conditions in a hydraulic system. The unstready flow condition may be brought about due to power failure to pump motors, pump start-up or modulation of control valve. The program was written specially for analyzing the water-hammer in the pumping system. The pumping system which can be simulated by the program can contain pipelines, tunnel, surge tanks, branched lines, reservoirs, dead end pipes and valve controls. The use of a computer program to analyze haydranlic transients is of great benifit to the designers of transmission main and distribution systems. Advantages include time savings, the ability to analyze complex piping systems, and increased accuracy. The author outlines a pogram developed for the above system.