In order to prevent the spacecraft from being damaged by the high pyroshock during the action of the pyrotechnic separation nuts， a metal rubber vibration isolator（MRVI） was used to suppress the pyroshock response caused by the impact of the piston in the separation nut. Three kinds of MRVIs with different stiffness were installed at the end of the piston movement in the separating nut， and the shock response spectrum（SRS） in the frequency domain of 500 Hz to 10000 Hz was analyzed. The results show that the pyroshock suppression effect of the MRVI mainly occurs in the frequency band above 3000 Hz， and the pyroshock suppression effect in the frequency band above 5000 Hz is the most significant. The maximum acceleration response after installing a small-stiffness MRVI is reduced from 1330 g to 852 g， and the maximum reduction in analysis frequency domain is 675 g@5993 Hz. The maximum acceleration response after installing a medium-stiffness MRVI is reduced from 1530 g to 1251 g， and the maximum reduction in analysis frequency domain is 539 g@9514 Hz. The maximum acceleration response after installing a large-stiffness MRVI is reduced from 1697 g to 1416 g， and the maximum reduction in analysis frequency domain is 538 g@8476 Hz. The use of MRVI achieves a better pyroshock suppression effect， and provides a viable method for the pyroshock reduction design of the pyrotechnical actuation devices.