The　adsorption　behavior　of　clay　particles　is　the　key　factor　to　control　the　solute　transport,　which　can　further　affect　the　accurate　evaluation　of　the　long-term　service　performance　of　the　seepage　prevention　barrier.　Based　on　the　single-component　adsorption　model,　the　theory　of　non-equilibrium　thermodynamics　and　Ziegler＇s　principle　of　maximal　rate　of　dissipation,　a　non-equilibrium　adsorption　model　for　multi-components　under　non-ideal　system　is　established　by　using　the　continuum　mechanics　method　through　setting　up　the　dispersion-type　free　energy　function　and　dissipation　rate　function.　The　proposed　model　is　employed　to　describe　the　adsorption　process　of　heavy　metal　ions.　The　results　show　that　there　is　a　good　agreement　between　the　model　and　experimental　results,　and　it　is　indicated　that　the　proposed　non-equilibrium　adsorption　model　can　correctly　reveal　the　kinetics　mechanism　of　adsorption　process　for　multi-components　on　clay.　©　2019,　Editorial　Office　of　Chinese　Journal　of　Geotechnical　Engineering.　All　right　reserved.