Based on the double exchange model, together with superexchange interaction and Coulomb interaction, the ground state of a lightly doped manganese system is studied in the semi-classical approximation of spins. It is shown that for a lightly doped system, the ground state energy of a canted state is lower than that of a spiral state; a canted state is therefore deduced to be more stable than a spiral state. This result is in agreement with experiments.