In this paper, the method for analyzing two-dimensional stationary thermoelastic problems is developed based on the body force method (BFM). The BFM is a kind of boundary type method and the principle of superposition is the base of this method. That is, in the BFM, the required elastic field is expressed by means of superposing the elastic fields of fundamental solution. In the analysis of thermoelastic problems, the temperature field and the elastic field due to an isolated heat source acting in an infinite plate is used as the fundamental thermoelastic solution. Namely, isolated heat sources are continuously distributed along an imaginary boundary so that the given temperature conditions are satisfied. To show the effectiveness of this method, the thermoelastic problems were solved analytically for the case of uniform heat flow disturbed by a thermally insulated hole or crack. Some numerical results were also shown in the forms of tables and graphs.