Abstract: Three representative media including fine sand, strongly weathered granite and silty clay in Jiayuguan area, Gansu Province were selected, and the adsorption kinetic process of U, ²³⁹Pu, ²⁴¹Am and ²⁴⁴Cm on the three media through static batch experiment were investigated. The experimental results were fitted using quasi-second-order dynamic model and the moving boundary model. The results confirm that the adsorption of U, ²³⁹Pu, ²⁴¹Am and ²⁴⁴Cm on the three media can be described by the quasi-second-order dynamic model, and the fitting results of the moving boundary model are as follows: the adsorption of U on fine sand and clay media is mainly controlled by liquid film diffusion, and on strongly weathered granite is mainly controlled by chemical reactions; the adsorption of ²³⁹Pu on fine sand and strongly weathered granite is mainly controlled by liquid film diffusion, and on clay is mainly controlled by chemical reactions; the adsorption of ²⁴¹Am on the three media is mainly controlled by liquid film diffusion; the adsorption of 244Cm on the three media is mainly controlled by intra-particle diffusion.