A widespread and pervasive global problem now existing in the environment is the subsurface contamination. The contaminants found may include wide range of toxic pollutants such as heavy metals, radionuclides, and organic compounds. Thus there is an urgent need for the remediation of these sites. The knowledge of sorption characteristics of the contaminants in the soil helps in the selection of appropriate method of remediation in order to achieve the maximum eddicacy. Only if appropriate method is chosen, the remediation can be done effectively. In general, sorption refers to the transfer of mobile contaminant ions from the pore fluid to soil particle surfaces, rendering them immobile. For the study, the soil sample was collected from Tamil Nagar, Tirunelveli and a combination of heavy metals like zinc and copper was selected as this combination of contaminants is been reported as most prevalent in major of the industrial effluents. The particularity of these contaminants is that these are the most widely found elements in most of the industrial effluents. The influence of the initial concentration of the heavy metals on the sorption capability of soil was studied. It was found that increased initial concentration of heavy metal in the pore fluid, results in increase amount of heavy metal uptake per unit weight of the sorbent of heavy metal. Data analysed plotted using Langmuir isotherm concludes that copper is preferably more adsorbable on soil than zinc.