Abstract: The main purpose is to research temperature stress of the concrete shaft in rock part of deep shaft,and the important influence of the temperature stress to the optimization design of shaft construction.In this paper,author's research starts from the thermal expansivity and thermal transmission theory in physics,then utilizes the thermo elastic theory in mechanics of elastic bodies and the solution of statically indeterminate system in mechanics of materials as well as the interaction principle between soil and elastic body,finally gets the correct thermal stress analysis formulae of shaft-wall.The research result is not only used to the stability analyzes of shaft in mine,but also used as the reference of the optimization design of shaft construction in rock part of deep shaft.