We have performed a detailed analysis of the magnetic (collinear and noncollinear) order and atomic and the electron structures of UO 2 , PuO 2 and UN on the basis of density functional theory with the Hubbard electron correlation correction (DFT+U). We have shown that the 3-k magnetic structure of UO 2 is the lowest in energy for the Hubbard parameter value of U=4.6 eV (and J=0.5 10 eV) consistent with experiments when Dudarev's formalism is used. In contrast to UO 2 , UN and PuO 2 show no trend for a distortion towards rhombohedral structure and, thus, no complex 3-k magnetic structure is to be anticipated in these materials.