Using a microscopic sdIBM-2+2q.p. approach, the spectra of the low-spin and partial high-spin states in 124Te nucleus are relatively successfully calculated. In particular, the 1+1, 1+2, 3+1, 3+2 and 5+1 states are successfully reproduced, the energy relationship resulting from this approach identifies that the 6+1, 8+1 and 10+1 states belong to the aligned states of the two protons. This can explain the recent experimental results that the collective structures may coexist with the single-particle states. So this approach becomes a powerful tool for successfully describing the spectra of general nuclei without clear symmetry and of isotopes located at transitional regions. Finally, the aligned-state structure and the broken-pair energy of the two-quasi-particle are discussed.