This paper proposes a technique for estimation of thermal contact resistance between two opaque solids. The laser flash method combined with an inverse approach based on the Gauss parameter estimation procedure is used. The analytical solution of the model of double-layer sample is given and the data reduction procedure is briefly described. Estimation possibilities of thermal contact resistance and other parameters of the model are analyzed. Particular attention is given to the influence of known parameter uncertainties. The estimation procedure is tested using simulated experimental data. New types of diagram are used to present and analyze the results. Results and discussion are given at the end of the paper