  By using an improved approximation scheme to deal with the centrifugal
(pseudo-centrifugal) term, we solve the Dirac equation for the generalized
Morse potential with arbitrary spin-orbit quantum number {\kappa}. In the
presence of spin and pseudospin symmetry, the analytic bound state energy
eigenvalues and the associated upper- and lower-spinor components of two Dirac
particles are found by using the basic concepts of the Nikiforov-Uvarov method.
We study the special cases when {\kappa}=\pm1 (l=l=0, s-wave), the
non-relativistic limit and the limit when {\alpha} becomes zero (Kratzer
potential model). The present solutions are compared with those obtained by
other methods. Keywords: Dirac equation, spin symmetry, pseudospin symmetry,
generalized Morse potential,
