Voltage source converter based high-voltage direct-current（VSC-HVDC）transmission system is a nonlinear，strongly-coupled，multiple-input and multiple-output system.The control system of VSC-HVDC transmission system is hard to remain globally asymptotically stabilized while eliminating the steady-state error.Based on the port-controlled Hamilton system with dissipation（PCHD）model of the VSC-HVDC transmission system，a method of interconnection and damping assignment passivity based（IDA-PB）control with integral stabilization action is presented.According to the control principle，three typical IDA-PB control schemes and the value range of their control parameters are given.For the exponential stability type IDA-PB control scheme，whose performance in the three is best，an integral stabilization action is added to the controller using the integral stability theorem.By installing the new controller，the VSC-HVDC transmission system has not only improved steady and transient characteristics，but also remained globally asymptotically stabilized，while the system is subjected to large disturbance or the system parameters cannot be accurately obtained.It is convenient to design the controller without solving partial differential equations.Simulation results performed by PSCAD/EMTDC show that the steady and transient state performance is improved compared with the proportional-integral（PI）controller.More accurate，effective，and robust，the IDA-PB controller is insensitive to parameter changes.