A new adjoint synthesis (ASYNT) method is proposed for synthesizing a three-dimensional solution from two- and one-dimensional solutions of the adjoint neutron transport equation. Its correctness and fast run ability are appropriate for evaluating neutron irradiation for the VVER/pressurized water reactor pressure vessel—especially for surveillance sites located out of the reactor core midplane.The solution axial dependence in circular cylindrical geometry is the main approximation used. The ASYNT method could be reduced to the traditional synthesis method by some supplementary approximations. The solution for every type of reactor is obtained by calculating the adjoint neutron transport equation only once for each surveillance site.