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In this paper, a free-space vortex channel model of the radio vortex system is proposed to describe the propagation char-acteristics of vortex signals over the vortex channel. The key idea is to combine the Laguerre-Gaussian (LG) modes in the optical field with the free-space propagation model in the radio field. The proposed free-space vor-tex channel model is derived from the electric field expression of the LG modes and the free-space channel transfer function of the free-space propagation model theoretically. Simu-lation results verify that the proposed model could reflect the vortex channel characteristics better than the currently used free-space prop-agation model.