Firstly,  based on node equation method,  a water distribution pipeline network steady flow mathematical model is established and is solved by using the Newton iteration method.  Secondly,  the mathematic model for transient flow set up by characteristic method can be used to forecast the harmful water hammer occurring in operation of the system,  and to find the possible occurrence of the maximum (minimum) hydraulic pressure and their corresponding happened place.  Sample shows that they are reliable models which have excellent computing efficiency and high order.  The results are that these models can be applied to hydraulic balance calculation for city's water distribution pipeline network and provide the theoretic basis for designer to adopt measures preventing from water hammer.