The Kirsch problem on the tension of an elastic plane with a circular hole free from external traction is considered. It is assumed that complementary surface stresses are applied at the boundary. Based on Kolosov-Muskhelishvili's method, the solution of the problem is reduced to the solution of a singular integro-differential equation for an unknown surface stress. A solution to the obtained equation is derived in an explicit form and shows that stress concentration at the boundary depends on the elastic properties of a surface and bulk material, and the radius of a hole as well if surface stresses s are taken into account.