The stripping for dither signal is an important subject in the field of Ring Laser Gyro (RLG), but there has hardly been a stripping scheme that does not cause time delay or has high accuracy, which limits the range of RLG application badly. According to the problem, a new algorithm based on high frequency sampling for RLG dither stripping was studied, which provides real time output signal due to subtraction between signals from gyro and angle rate sensor, and decreases effect from environment by compensating angle rate signal within a feedback loop. Firstly, the theory of this new algorithm in dither stripping was analyzed, then material design was given, and it was compared with former schemes in simulated result lastly. According to the conclusion from simulation, the new algorithm reduces dither residue greatly in the static and dynamic state, and hardly cost time, which makes it possible that the strapdown inertial navigation system based on RLG is used in high dynamic aircraft.