The invention relates to the technical field of working face hydraulic systems and provides a pressure stabilizing and liquid supplying method capable of adapting to hydraulic support movement. The support system hydraulic process is divided into three stages, namely, a system liquid leakage stage, an energy accumulator liquid supplying stage and a pump liquid supplying stage; support movement andpressure changing in the three stages are analyzed correspondingly to obtain the pressure stabilizing and liquid supplying flow quantity; and executable liquid supplying strategies are further formedaccording to the pressure stabilizing and liquid supplying flow quantity, and output of the liquid supplying flow quantity is specifically achieved through an executing mechanism. According to the pressure stabilizing and liquid supplying method capable of adapting to hydraulic support movement, by judging the conditions such as support movement and pressure changing, in order to increase the support movement speed and stabilize the hydraulic system pressure, liquid is efficiently and stably supplied in the hydraulic support movement process; in the liquid supplying optimizing process, the movement speed of a support is maintained and slightly increased, and when movement is completed, the set unloading pressure is right achieved, and the pressure fluctuation phenomenon is effectively avoided; and the propelling speed of the coal mine working face can be increased, the equipment loss of a hydraulic system is reduced, and the application prospects are considerable.