A thermal contact resistance model is derived from the Whitehouse, Archard and Onions theory of contact and thermal considerations. The model used two coupled thermal resistances acting in parallel : direct contact resistance (depending on the actual dimensions of the contact spots) and interstitial contact resistance (depending on interstitial medium and mean interfacial gap). Variations of thermal contact resistance are computed as a function of the apparent pressure. The predictions are compared and agree relatively well with some experimental data. The model using non-dimensional parameters is very easy to implement.