  A new way for obtaining the bound-states for arbitrary non zero l-states of
the rotating Morse potential is presented. We show that by making use of the
inverse contour representation, which is based on a knowledge of the integral
representation of Euler's beta function, the radial wave-function as well as
their energy eigenvalues are deduced. The results obtained are compared with
the findings in the literature and it is found that are good agreement with
those deduced by others methods.
