The compressive creep behavior of corrugated cartons was studied by indoor experiment combined with theoretical analysis. The compressive stacking creep experiment of corrugated cartons was conducted using a carton compression experiment machine. The compressive strength of the corrugated cartons, the crushing time under a specified pressure, and the compressive strength after creep for 30 minutes were measured. The experimental data were fitted and analyzed using the generalized fractional Kelvin (GFK) model, and based on the fitting results, the delay spectrum(L(τ)) of corrugated cartons was further investigated. The results show that under the same holding time, the greater the pressure maintained on the corrugated cartons, the greater the deformation, and the shorter the time they will be crushed. In addition, by comparing the creep experimental data with the theoretical calculation data, it was found that the 5-unit Kelvin body GFK model can accurately describe the creep behavior of corrugated cartons, theoretically revealing the changes in structural properties during the creep process.