In order to show the advantages of the super quantum discord with regard to the normal quantum discord, the super quantum discord and normal quantum discord in thermal equilibrium Heisenberg XYZ model with Dzyaloshinski-Moriya interaction were calculated and analyzed. The results show that the super quantum discord is always larger than the normal quantum discord and Dzyaloshinski-Moriya interaction plays a positive role to the super quantum discord. The super quantum discord is less affected by temperature than normal quantum discord. The stability of the quantum state can be improved by changing the ordinary quantum measurement with weak measurement.