The analytical solution of a boundary-value problem of heat conduction for tribosystem, consisting of a plane-parallel strip sliding with a constant velocity on a surface of semi-infinite foundation, is obtained. It is assumed that the thermal contact between strip and foundation is imperfect. The asymptotic formulae of temperature for small and large time values were found, too. The influence of the contact heat transfer on temperature distribution in materials of frictional pair such as FMK-11 metal–ceramic strip–ChNMKh cast iron foundation, was investigated.