During geological process, whether the trace elements could be effectively closed in minerals, depends on its diffusion behaviors. Rare earth elements are important geochemical tracers for understanding geological processes and their physical-chemical conditions. Therefore, it is important to investigate the REEs diffusion behaviors in different minerals. In this paper, we conducted a preliminary theoretical study on the REE migration in various minerals based on analyzing the constraint of crystal lattice configuration and ion type on elements diffusion, and a multivariate model was proposed for predicating diffusive parameters of REE in minerals under a dry, 1-atm condition. E and lnD0 data calculated in this paper using the multivariate model are in a good agreement with previous experimental data. Compared with the previous prediction models, the multivariate model proposed in this paper can comprehensively reflect the influences of various crystal chemical factors in diffusive system. In addition, it is revealed that the most important controlling factor of REE diffusion in mineral lattice is those cations rather than the anion as previously considered.