Abstract: A class of nested subcell discrete scheme for solving discrete ordinates transport equations is proposed. The primary unknowns of the scheme are defined at the centers of the cells and subcells, and the nested subcell transport scheme can be designed to suppress oscillations by maintaining the diagonal dominance of the matrix by the closed condition for the subcell boundary quantities. In this paper, two types of closed conditions are proposed, and the nested subcell step scheme and the nested subcell center scheme are designed. The numerical examples show that compared with the classical diamond scheme and the simple corner balance scheme, the new schemes are accurate and can significantly suppress the non-physical numerical oscillation. Although the nested subcell schemes are computationally intensive for each iteration, the test case where the convergence is difficult, the nested subcell schemes have much smaller iterative numbers than the high-accuracy schemes such as the diamond scheme and the simple corner balance scheme, and the solution efficiency is higher.