Due to insufficient water resources, groundwater is considered as the main water supply sources in some regions in Kirkuk city. A Golden Software (Surfer8) is used to show the elevation and the chemical characteristics of the groundwater that have been investigated and evaluated in order to examine the major suitability of the water for drinking and domestic uses. Water samples collected from 29 wells and analyzed for pH, electric conductivity (EC), total dissolved solids (TDS), Ca++, Mg++, Na+, HCO3-, Cl- ,SO4--and the total hardness. The mean value for the analyzed data was (7.9, 1287.9, 995.38, 111.7, 67.7, 73.662, 202.42, 32.88, 430, and 570.058) mgl respectively. The analysis result was compared with the WHO standards of drinking water quality parameters and show that the analysis is within the standards of WHO except the concentrations of the sulphate and the total hardness. A high concentration of sulphate is due to the gypsum nature of the soil in Kirkuk city. It is observed that the quality of water is not suitable for drinking and domestic purposes in most water samples.