Abstract: Punish corruption and bribery, and promoting clean government,China has consistently adhered to the criminal policy andstatecraft. With the development of social, political, economic and otheraspects of change, corruption and bribery will continue to newsituations and new problems. For this, the author via the analysis of the status and characteristics of corruption and bribery,and combined with thepractice of our investigation, summed up the important and difficult problem exists in the investigation of corruption and bribery cases, that is, through the cases of bribery in the "one-on-one" , the borrowertype of bribery cases ,the suspect entered into a conspiracy of silence and retracted Testimony ,the suspect Escaping aboard the four aspects of the analysis and discussion of the countermeasures. At the same time, in the Improvement of the related investigationinstitution building, the use of a secret investigation, the temptation of the investigation, technical investigation and other means tostrengthen the investigative efforts to improve the efficiency and quality of the investigated cases of corruption and bribery.