<正> Let the concentrated forces and the centers of pressure with unknown density functions x(ξ)and y(ξ)respectively be distributed along the axis z outside the solid,then one can reduce anaxismmetric loading problem of solids of revolution to two simultaneous Fredholm integral equations.An iteration method for solving such equations is duscussed.A lemma equivalent to E.Rakotch’scontractive mapping theorem and a theorem concerning the convergent proof of the iteration methodare presented.