This paper considers the problem of an axisymmetric infinite cylinder with a crack at z = 0. The cylinder is under the action of uniformly distributed axial tension applied at infinity and its lateral surface is free of traction. It is assumed that the material of the cylinder is linearly elastic and isotropic. Crack surfaces are free. Formulation of the boundary problem under consideration is reduced to single singular integral equation in terms of the derivative of the crack surface displacement. These equations together with the single-valuedness and equilibrium condition for the displacements around the crack is converted to a system of a linear algebraic equation which is solved numerically. Stress intensity factors are calculated and presented in graphical form