To establish a fatigue cumulative damage model for honeycomb paperboard through fatigue compression tests. First, the honeycomb paperboard was subjected to a certain degree of pre-compression, and then different number of fatigue compression tests were conducted, and finally the fatigue specimens were subjected to quasi-static compression. With the increasing number of compression, the loading capacity of the paperboard and the plateau stress were both decreased. The initial yield peak stress of the honeycomb paperboard disappeared. The stress-strain curve had three stages, including the elastic, plateau and densification stages. The plateau stress was sensitive to FD at about 30 000 cycles, but FD had relatively weaker effect on plateau stress from 30 000 to 50 000 cycles, and after that there was only slight change. The plateau stress was changed after fatigue compression of the honeycomb paperboard, and it displayed a trend of first dramatic and then slight decrease. Selecting residue plateau stress was as parametric stress injury, and combining with the fatigue damage accumulation method, the fatigue cumulative damage model for honeycomb paperboard was built.