A method and system for eliminating the low-frequency oscillation between generators. By way of measuring the absolute rotor angle of a generator and controlling the rotor rotational speed, the absolute rotor angles obtained through measurement are the same when each GPS pulse per second signal arrives. The absolute rotor angles are angles of the internal potential Eq of the generator leading a GPS reference vector. Through the absolute rotor angle, zero steady state error control of the frequency and the rotor angle is achieved and the position of the generator rotor can remain unchanged in the PPS determined rotating coordinate system, thus suppressing the low-frequency oscillation better even without the need of remote measurement and achieving automatic local balance of active power during variation of loads. Accordingly, the power fluctuation on transmission lines is decreased while safe and stable operation of a large-scale interconnected power grid is achieved.