Several kinetic models were accustomed to check the experimental rate data and to examine the controlling mechanism of the sorption process for elimination of uranium and some lanthanides from aqueous solutions using synthesized sonicated emulsion polymer. The results showed that pseudo-second-order and Elovich kinetic models provided a best-fit description and best correlate the experimental rate data for the sorption of U$^{4+}$, Gd$^{3+}$, Nd$^{3+}$, Eu$^{3+}$, Ce$^{3+}$, and La$^{3+}$ ions because of their high correlation coefficients and low residual error relative to other used kinetic models. The intra-particle-diffusion (IPD) model reveals that the pore diffusion is not the sole rate-controlling. Using the pseudo-first order (PFO) and the pseudo-second order (PSO) rate constants combined with previously-established Langmuir sorption models, the kinetic sorption (k a) and desorption (k d) Langmuir rate constants were theoretically calculated. The pseudo-second order Langmuir model better fits the data during the early part of the experiments and it observed that sorption during later times occurred more slowly than the first part, which supports the hypothesis that IPD becomes the rate-limiting process during the course of the experiment.