  In this work, we solve the eigenvalues problem with the Bohr collective
Hamiltonian for triaxial nuclei within Deformation-Dependent Mass formalism
(DDM) using the Hulth\'en potential. We shall call the solution developed here
Z(5)-HDDM. Analytical expressions for energy spectra are derived by means of a
recent version of the Asymptotic Iteration Method. The calculated numerical
results are compared with the experimental data, and the model Z(5)-H using the
Hulth\'en potential without DDM formalism as well as theoretical predictions of
Z(5)-DDDM model with Davidson potential.
