Abstarct: On the basis of the steady-state two-dimensional theory of thermoelasticity, stress field around a hole in infinite isotropic plate is dicussed. The plate is subjected to a point heat source and thermal insulated condition along the hole boundry in assumed. By using the complex potential functions and applying the conformal mapping and solving the integral equations, stress distribution around the hole in represented. The used method is the expansion of the complex variable method for an infinite isotropic plate with circular and elliptical holes. For simplicity of using the Cauchy integral formula, the infinite area external to the hole can be represented by the area outside the unit circle. The rotation angle of hole, bluntness, aspect ratio of hole size are important parameters that are considered in this research. The results obtained demonstrate the effect of these parameters on stress distribution around hole and heat source.