For the situations that it's difficult to deal with the conflicting evidences in traditional criminal cases, a conflicting evidences fusion processing method based on evidence credibility and grey incidence is proposed. Based on the degree of grey incidence on similarity perspective as a link between evidences, a combination of evidences that changes the source of evidences is used to measure the closeness between the various evidence sources. Considering the credibility of evidences, a new weight determination method is proposed based on the closeness of evidences. Taking the credibility of the evidence as the weight, the weighted average of the basic probability assignment function of the evidence participating in the fusion is used to make the evidence fusion convergence faster and improve the fusion effect. Finally, through the case of a theft crime in a city of Anhui province, the evidence reasoning method based on information fusion is used to deal with the conflicting evidences in the case, which reflects the rationality and effectiveness of the proposed method.