We introduce the reservoir computing (RC) concept into the laser processing unit for the scenario of the inter-satellite communication to mitigate the impacts from the multi-distortion sources, enabling significantly improving the quality of the coherent signals through the intelligent approach in outer space. We carry out the experimental investigations to quantify the impacts from the Sun radiation, the Doppler frequency shift and the vibration on the transmitted quadrature-phase-shift-keying (QPSK) signals, and perform the signal compensation through only one RC module at the receiver end. A maximum 5.59dB signal-to-noise ratio (SNR) improvement has been achieved in the experiment when the three distortion-sources applied simultaneously, confirming the compensation capability for the laser inter-satellite communication.