The conflict events that occurred in construction engineering project (CEP) bring about a lot of adverse influence on project implementation. Furthermore, the five cnflict-deding based on the project management have their shortcomings in practice. On the basis of investigation, the paper first validates that conflict events of CEP possess different characte from other conflicts, and continues to analyze the factors that cause the conflicts through subsequent investigation and clustering analysis. The author is able to bring to light the multi-attributive characteristics of the conflict events, and puts forward a new concept referred to as co-adaptability aiming to approach the conflict events in CEP, and build up a new project management mechanism based on the new concept and a new mode to deal with the conflict events based on the whole project benefit. So, the research offers not only a new idea but also a new method of solving conflict events in CEP.