Abstract: Coherence measure is an important mathematical tool for describing quantum coherence. It is very helpful to study quantum coherence by investigating different coherence measures from the perspective of the ordering states. Therefore, the two-qubit pure state and two special Bell-diagonal states (Werner state and MNMS state) are taken as the research objects, and their coherence values on relative entropy partial coherence and skew information partial coherence are compared. It is found that the relative entropy partial coherence and the skew information partial coherence measure have the same quantum ordering state for the above three special two-qubit quantum states.