The Practical study of heat transfer through surface contact resistance is very essential for advancement of thermal applications. It is required to understand the heat transfer between composite pair having same as well as different interface material. The outcomes will very essential for design of different heat transfer thermal applications. The sole objective of the dissertation work is to reduce the Thermal Contact Resistance (TCR) and increases thermal efficiency of the application. To minimize thermal contact resistance, the study of heat transfer with composite material pair & Thermal Interface Material (TIM) and varying pressure conditions has been carried out experimentally. The Experimental work includes effective possible pairs of circular plates of aluminum (HE30/6082) and copper (EC101) alloys. To avoid radial losses during experiments plates are designed and manufactured in circular disc form 184 mm diameter with 5mm thickness each. Each of plate having four groove, Pencil k type thermocouple (Tip length: 70mm & diameter: 3mm) placed inside that grove which measured average temperature between top surface of cu plate and bottom plate of aluminum plate with the help of 8 channel temperature indicator. The various effective pair of metal alloys disc has been considered during practical where air and brass foil are used as TIM for particulate pair. In advancement of minimization of TCR, experiments with various pressure range also has been conducted for possible different pairs of metal disc with TIM. The effect of pressure in weight ranges from 100 gm to 1800gm was investigated in different temperature condition up to 70oC. When all temperatures attain the steady condition at 40oC -70oC interval, at that time measured the average temperature of it. An experiment has been conducted with some specific conditions to achieve ideal results. With experiment, it is possible to analyze and identify suitable thermal interface material with minimum thermal contact resistance between two plates. Selection of proper TIM will lead towards higher heat transfer rate.