Abstract: To investigate the mechanical properties and the damping performance of the rubber geopolymer concrete, the concrete mechanical performance test and the free vibration test of the cantilever beam under the low cyclic action were done based on the replacement volume fraction of the rubber particles for the test parameters. The influence law of the rubber geopolymer concrete with the variation of the replacement volume fraction of the rubber particles was analyzed. The damping performance of the rubber geopolymer concrete cantilever beam under the different damage control displacement and the different replacement volume fraction of the rubber particles was studied. The relationship between the damping ratio and the damage index of the cantilever beam was established. The results show that a small amount of the rubber particles can enhance the flexural strength and improve the toughness of the geopolymer concrete. The damping ratio of the rubber geopolymer concrete cantilever beam with the same damage index increases with the increase of the replacement volume fraction of rubber particles. With the increase of the damage index, the damping ratio of the rubber geopolymer concrete cantilever beam increases first and then decreases under the same replacement volume fraction of the rubber particles. By analyzing the bending dynamic stiffness, the damage index and the relationship between the damping ratio and the damage index of the rubber geopolymer concrete with the different replacement volume fraction of the rubber particles, it is found that the rubber particles with 10vol% replacement volume fraction can not only enhance the damping characteristics of cantilever beam, but also its stiffness degradation law is controllable.