In order to further understand compression characteristics of the crop straws with core, taking Nongda108 corn stalk cores as object, the viscoelastic parameters were obtained through radial compression test for the crop stalks with core was anisotropic, non-homogeneous and non-linear. The finite element model of the corn stalk core was established with ANSYS. Radial compression and relaxation of corn stalk cores were preceded and simulated. The results showed stress relaxation characteristics of corn stalk cores were depicted by five parameters generalized Maxwell model, and errors between experimental values and finite element simulation values about fitting model parameters were less than 10%. The test approved that the radial compression change curves between test and simulation were accordant, and verified the validity of the simulation results and the feasibility of the calculation model.