Abstract: It is important to constitute an agent with personality in agent-based computing. Recent study of the definition and analysis of personality and its effects on agent are not complete. There are not descriptions of personality degree and autonomic goal production. In this paper, the definition of personality with degree description integrating preference and trait is presented and the structure and the related algorithm of agent with personality are formally described. The influence of personality on interaction and organization is analyzed and the implementing approach to agent with personality presented by Rizzo, Castelfranchi et al is improved.