In order to efficiently combine high conflict evidence and improve the reliability and rationality of the combining results when evidences are in high conflict, a new method of weighted evidence combination rule is proposed. In adopting this proposed approach, according to the associated characteristic between evidences, the weight of evidence in sensor system is acquired by calculating the relative distance in body of evidence. First, a distance function between the bodies of evidences is introduced.According to the bodies of evidences, the similar degree between the bodies of evidences from different sensors and the support degree of each evidence are gained.Then the reliability of each evidence can be got from the support degree, with this as the weight of each evidence in weight-averaging the basic probability assignment.Finally the fusion of the weight- averaged evidences is performed with the Dempster combination rule. Compared with the existing methods, the proposed approach is more efficient and rapid in recognizing the target when false evidence is in existence.