In this experimental work, the effects of welding current, gas flow rate and welding voltage on thermal conductivity using RSM were studied, and the use of numerical models to further improve understanding of welding properties is of great importance to the welding researchers. RSM is a very significant technique applied in the Manufacturing, Oil and Gas, Metallurgical and Materials industries that employ mathematical and artificial intelligent methods. This paper is on Tungsten inert gas process parameters. The main input variables considered are welding voltage, welding current and gas flow rate. The response parameter is thermal conductivity. The statistical design of the experiment was carried out 20 times with 5 weld specimens per experiment, using the central composite design matrix. The response was measured and recorded.  Gas Flow Rate of 10Lit/min, Voltage of 9Volts, and Current of 160Amp results in thermal conductivity of 42.96123w/m.