The pseudospin symmetry in the relativistic Morse potential is investigated systematically by solving the Dirac equation with attractive scalar S(r) and repulsive vector V(r) potentials. The spin-orbit coupling term of the Dirac equation is included to the solution by applying the Pekeris approximation. The analytical solutions for bound states of the Morse potential with pseudospin symmetry are obtained by using the Nikiforov-Uvarov (NU) method. The eigenvalue spectrum for various levels is presented for the several pseudoorbital and pseudospin quantum numbers under the conditions of exact pseudospin-symmetry (Sigma = V + S = const). (c) 2006 Elsevier B.V. All rights reserved.