  In this paper, we investigate the Dirac equation with the Killingbeck
potential under the external magnetic field in non-commutative space.
Corresponding to the expressions of the energy level and wave functions in spin
symmetry limit and pseudo-spin symmetry limit are derived by using the Bethe
ansatz method. The parameter B associated with the external magnetic field and
non-commutative parameter {\theta} make to modify the energy level for
considered systems.
