Olive stone waste one of the biomass sorbents which was investigated to remove various aqueous metal ions especially heavy metals. This research aims to explore the data achieved from a batch studies of single bio-sorbent system for removal of lead metal ions Pb(+2) by using Jordanian olive stone waste (OSW). The study investigated the effects of contact time, system pH, initial concentration of adsorbate, and adsorbent dose on removal of lead ions. Findings indicated that the suitable pH is of 6.8 for maximum removal of 82.5% of the initial concentration of 9 mg/L at temperature of 25±1 oC for adsorbent dose of 1-gram sorbent per 0.25 liters of solution. The equilibrium biosorption data have been analyzed to identify the biosorption isotherm and kinetics adsorption rates for the removal of lead ions by biosorbent (OSW) using commonly well-known adsorption isotherm models; Langmuir, Freundlich, Temkin, and Dubinin–Radushkevich and Pseudo First Order, Pseudo Second Order, Elovich, and Intraparticle Diffusion models, respectively. Findings show that data were fitted well according to Freundlich isotherm adsorption model, while, the data were fitted the Pseudo First Order reaction in case of kinetics adsorption models’ investigations. In conclusion, the adsorption rates in single system said that the processes are very fast and approved that the process is definitely adsorption and represented by Freundlich isotherm adsorption and pseudo second-order reaction models with high correlation coefficients equal approximately 1.