Pb sorption data onto natural zeolite (clinoptilolite) in the presence/absence of acetate, and with increasing acetate concentrations, to mimic the effects of natural organic matter and synthetic organic matter from chemical inhibitors on Pb sorption at geothermal conditions. The data also includes Pb sorption with and without Cl ions in solution, to test the effect of salinity on Pb sorption efficiency onto clinoptilolite.