Organic acids are relatively new soil heavy metal leaching agents requiring the development of desorption kinetics before being applied. The objective was to determine the heavy metal desorption rates for three heavily contaminated soils (clay loam, loam, and sandy clay loam), treated under optimum conditions with either citric acid, tartaric acid, or EDTA for comparison. A two-rate reaction (fast and slow) model was defined to describe desorption kinetics, where both first order rates were assumed irreversible and reversible, respectively. Experimental data were collected by initially subjecting the three soils to batch experiments at optimum leaching agent level, for up to 36 h. The results indicated that citric acid was a more consistent leaching agent compared to tartaric acid and EDTA, which were efficient mainly in treating the clay loam and the sandy clay loam, respectively. The two-rate reaction model fitted the data but its empirical coefficients need to be defined for each individual soil to be treated. For Pb common to all three experimental soils, k1, representing the fast desorption rate, increased with the ratio of metal equivalence fraction: soil CEC. The coefficients k2and α0, representing the slower rate of desorption and the proportion of Pb involved in this slow rate, respectively, increased with the mass of Pb held by the oxide and organic matter fractions. The coefficient m1, related to the relative rate of the backward reaction from the slow to the fast, varied according to the mass of Pb held by the exchangeable site. Despite the empirical values associated with the kinetics coefficients, their correspondence with individual processes indicate that organic acid remediation can be modeled using the two rate kinetic equation proposed in this project.