This article considers the problems of decision Kirsch’s task under creep and radiation swelling. The aim of the paper is to produce a model of solve steady stress state for infinitely long plate. A numerical solution has been proposed to solve this problem under creep and radiation strains. A mathematical model has been constructed. The computer program of decision for Kirsch’s task in package MathCAD has been programmed. Graphic distributions of stresses have been received. All the obtained results have passed through checking procedures.