  Approximate bound state solutions of the Dirac equation with the Hulth\'en
plus a new generalized ring-shaped (RS) potential are obtained for any
arbitrary -state. The energy eigenvalue equation and the corresponding
two-component wave function are calculated by solving the radial and angular
wave equations within a recently introduced shortcut of Nikiforov-Uvarov (NU)
method. The solutions of the radial and polar angular parts of the wave
function are given in terms of the Jacobi polynomials. We use an exponential
approximation in terms of the Hulthen potential parameters to deal with the
strong singular centrifugal potential term Under the limiting case, the
solution can be easily reduced to the solution of the Schrodinger equation with
a new ring-shaped Hulth\'en potential.
