Abstarct: The presence of hole in an anisotropic plate under uniform heat flux causes thermal stress around the hole. In this study, on the basis of the two-dimensional thermoelastic theory and using the Likhnitskiiʼcomplex variable technique, the stress analysis of anisotropic infinite plate with a circular hole under a uniform heat flux is developed to the plate containing a hole with different shapes. For this purpose, using a conformal mapping function, an infinite plate containing a hole with different shapes is mapped to the outside of a unit circle. Stress and displacement distributions around the holes in an anisotropic infinite plate are investigated in thermal steady state condition. The plate is under uniform heat flux at infinity and Neumann boundary condition and thermal-insulated condition along with the hole boundary are considered. The rotation angle of the hole, fiber angle, the angle of heat flux, bluntness and the aspect ratio of hole size are important parameters investigated in the present study. The accuracy of the analytic results presented in this study is confirmed by finite element analysis.