[en] A new combined method for approximate solving the neutron transport gas kinetic equation based on the formalism of the finite element method and the method of embedded elements is proposed. The algorithm specific feature is the possibility of constructing the rectilinear finite elements by means of which curvilinear boundaries of internal zones can be taken into account precisely. The configuration of these zones is taken into account by embedded elements introduced into corresponding finite elements. The absence in the algorithm of iterations dealing with the scattering integrai reduces calculating expenditures as compared with traditional schemes in solving the gas kinetic equation of neutron transport. The numerical experiments on studying the convergence of the approximate solution to the reference one made for a cell of the BN-1600 type reactor heterogeneous core taken as an example have shown the fast convergence of the method