The evidence fusion problem with both reliability and importance is limited to deal with it only in discount processing phase and not deeply into the fusion rule construction. In order to solve above problems, the existing problems in the current research are introduced by analyzing its solving thought firstly. Then an evidence discounting method that satisfies commutative law is established to discount the basic belief assignment function with both reliability and importance. A compensationcoordinatedruleforfusingevidencesisconstructedbasedontheDempsterruleandMurphyrule, whichisused to balance the relationship between reliability and importance from the perspective of non-compensatory and compensatory coordination. The numerical comparison analysis shows the scientificity of the presented method.