The thermoelastic response of a subsurface inclined crack under the application of a point heat source is studied in this paper Based on the complex variable theory and the method of analytical continuation, the problem is formulated by two stress functions and a temperature function which are enforced to satisfy the interface condition. The singular integral equations for both the temperature field and thermoelastic field are derived by taking dislocation functions along the crack border such that both the insulated condition and traction-free condition are satisfied on the crack surface. Numerical results of the thermal stress intensity factors for different geometric configurations are discussed in detail and provided in graphical form. The results obtained in this study will be helpful in understanding the problems of seismology generated by thermal loading in a cracked body.