Abstract: Nonlinear equation group for multi-pump pipeline system's hydraulic calculation is established on energy balance equation of pump's pipeline system and node flow equation of multi-pump pipeline system. Newton calculation method solving nonlinear equation group used in computerized program calculation is superior of high accurate and high-speed calculation, and simple program. Introduces how Newton calculation method solves nonlinear equation and states with real example that the method is a kind of reliable and quick one to do hydraulic calculation of pump's pipeline system.