A laboratory experiment was conducted to examine, compare and evaluate the sorption of heavy metals (nickel and lead) on sorbent materials (sandy and sandy loam soils). The sorption data were fitted with some sorption isotherm models using the software IsoFit such as Linear, Freundlich, and proposed new model. Measured and simulated data were compared statistically to evaluate model reliability. It noticed that the sorption of Ni and Pb was more pronounced in sandy loam soil than in sandy soil and the sorption percentage was decreased by increasing the initial concentration. The results showed that the average values of sorption percentages of sandy and sandy loam soils were 80.39 and 87.69% and 87.23 and 93.89% for Ni and Pb, respectively. Also, the experimental data was analyzed to examine the adsorption isotherm models. The distribution coefficients (Kd) obtained from the linear sorption isotherm model were 98.772 and 168.524 L/kg (as Ni and Pb) for sandy soil and 161.606 and 388.391 L/kg (as Ni and Pb) for sandy loam soil. Metals can be arranged according to their Kd values, i.e. their affinities for the soil, in the following relative sequence: Pb> Ni. This general sequence tends to vary slightly for different soil types. The obtained results are promising and useful in industrial wastewater infiltration into the soil profile and groundwater. In conclusion, understanding the sorption dynamics of heavy metals in soil systems is essential for managing contaminated sites and protecting environmental health. This research recommends future studies to verify the competitive mechanism of heavy metals sorption correlated to the soil characteristic parameters.