Aiming at solving the problem of signal injury caused by multi- retransmission in distributed satellite optical network, a wavelength- shift- free regenerative scheme based on cascading semiconductor optical amplifier (SOA) with two- stage offset filter is presented. Making use of the characteristic of optical pulse after the SOA with different recovery times of carrier can lead to different spectral shifts. The scheme imposes a red- shifted and a blue- shifted filter on signals respectively after two cascading SOAs, which not only gives the two times regeneration for optical pulse, but also compensates the wavelength shift caused by each regeneration. The results show that the amplitude noise and power jitter can be suppressed effectively, and the Q factor of signals can be improved 8 dB at most.