In order to establish a restoring-force model for concrete columns with high strength core,based on the low cyclic loading tests.112 concrete columns with high strength core were calculated and the results were regressed.The expressions for characteristic nodes of the skeleton curve were given in terms of the axial compression ratio,the area ratio of core high strength concrete and the shear-span ratio.In addition,the hysteretic rule of the restoring-force model and the expression for unloading stiffness were presented.The numerical results based on the restoring-force model given in this paper are in good agreement with experimental results,which shows that the restoring-force model presented in this paper can accurately simulate and reflect the seismic behaviors of concrete columns with high strength core.