Novel nanocomposite membrane adsorbents were synthesized and presented in our previous works. In this study, first-order-based (FOBM) and second-orderbased (SOBM) kinetic models were employed for predicting Cu(II) ion concentration of the receive phase in dialysis permeation through the membranes. The models could satisfactorily predict the quasi-equilibrium concentration, i.e., ion concentration in the liquid equilibrated with the adsorbed phase, at steady-state condition; however, with no satisfactory fit at transient region. SOBM model agreed better with the experimental data and highlighted a sharp increase in the ion uptake rate at the early permeation times. Computed partition and mass-transfer coefficients emphasized on the importance of morphology and chemistry on transport mechanism. Moreover, better insight into the phenomena involved in diffusive transport through the membrane adsorbents was obtained in the light of the modeling results.