In this work, we study the collective Bohr Hamiltonian of triaxial nuclei within deformation-dependent mass formalism (DDM) using the new Anharmonic potential. The Schrödinger equation with Bohr Hamiltonian is separated into two parts and the [Formula: see text]-part is solved by mean of Nikiforov–Uvarov method to obtain the energy spectra. The [Formula: see text]-part is defined by a ring shape potential and solved with the same method. The energies and the [Formula: see text] transition rates for nuclide [Formula: see text]Pt are calculated and compared with the experimental data and with some others models in the same formalism.