Abstract: By using a microscopic sdgIBM-2 approach which is the accomplishment of the phenomenological sdgIBM theory and the experimental single-particle energies, the levels of the more complex ground-state band and the high-angular momentum states of γ-band on ¹⁰⁰Pd nucleus are successfully reproduced. The groundstate band and γ-band are described well up to J^π=16⁺ and E_x≈7 00 MeV, and that is larger than that J^π=6⁺-8⁺, E_x≈2 00 MeV can be successfully reproduced in IBM theory. It has been proved that its yrast states up to the 16⁺ state are ground states, there may not exist any broken pair quasi-particle state by boson in yrast states. Theoretical analysis and numerical calculation show that to describe successfully spectra on ¹⁰⁰Pd nucleus underthe boson approach in IBM theory, it is impossible that the g-boson has been not considered in one. According to the microscopic sdgIBM-2 approach, the 14⁺₁ state is understood as a result that a neutron g-boson transites into a neutron d-boson and a pair of photos is radiated at same time, and the 14⁺₂ state is the decoupling state of the 16⁺₁ state, while the 14⁺₃ state is the actual ground state.