One of the serious challenges for construction project dispute negotiation is keeping the negotiating parties' at the table. If they lose interest to continue, i.e. withdraw from the negotiation, then the prospect of having a negotiated settlement is fairly remote. Previous studies have identified withdrawal is an attitudinal response to behavioral primers. Furthermore, withdrawal has also been observed to be a sudden change in behavior similar to the phase change described by Catastrophe Theory. Such phase change is characteristically described as catastrophic change. This study aims to study the behavioral primers that trigger the sudden withdrawal in construction project dispute negotiation. For this purpose, withdrawal is first examined and the measures of withdrawal are discussed. With the three behavioral primers, (1) motivation, (2) cognition, and (3) personality that have been identified as withdrawal triggers, six cusp catastrophe models of withdrawal are developed. With data collected by a specially designed questionnaire, the programme Cuspfit was employed to examine these models statistically. The advancement in information technology has enabled the software be available for researchers anywhere in the world. The availability of this specially developed software greatly enhanced the study and application of the catastrophe theory in behavioral type of study. Furthermore, the capability of the software in presenting data in cusp catastrophe forms graphically is particularly illustrative. The findings suggest that (1) withdrawal is contingently bimodal, (2) once a party withdraws, it is effort-laden to offset a withdrawal, and (3) the catastrophic change of withdrawal behavior is more likely for task-oriented negotiators who have little concern on relation. Recommendations are made on the ways in which research and practice can contribute to negotiation success through attention to the link between withdrawal and the three behavioral primers. The “make or break” attitude of a negotiator not only manifests as tactic but also fuels withdrawal. In construction, there have been limited studies about the underlying behavioral drivers of withdrawal. This paper provides a renewed perspective on drivers of withdrawal and application of cusp catastrophe model in construction project dispute negotiation. Further research on the ways to facilitate construction dispute negotiation has been suggested. ► Withdrawal is phenomenon when negotiator loses interest to continue negotiation. ► Behavioral primers, i.e. motivation, cognition and personality, trigger withdrawal. ► Withdrawing behavior can be catastrophic. ► These catastrophic effects depend on negotiators' task- and relation-orientation.