Abstract: Multi-person multi-criteria conflict decision making problem exists, extensively in reality. This article studies this kind of problem and a model for multi-person conflict decision with multicriteria is presented. In the article, mathematical formulation of the model is given and a set of axioms are established. Then, a unique solution-reference solution is proved satisfying the set of axioms. Furthermore, the properties of the reference solution and reference point are analyzed. Finally, the use of the model to solve multi-person multi-criteria decision making problems is demonstrated.