The purpose of this research, based on Maslow's theory of need hierarchy, Lazarus's theory, and related studies, was to analyze the relationship between need problems and coping strategies, and to us'e a linear-structure relationship to test "The Theoretical Model of Need Problems with Coping Strategies for Elementary School Teachers". "The Teacher Need Problem Inventory", "Teacher Coping Strategies Inventory", "Tennessee Self-Concept Scale", "Teacher Attitude Inventory", "Teacher Job Satisfaction Questionnaire" and "Questionnaire of Teacher Background" were administered to 855 elementary school teachers. The major findings were as follows: (1) Psychological need problems negatively correlated with coping stategies. (2) The theoretical model of psychological need problems with coping strategies was not perfect enough. (3) According to these findings, suggestions were proposed to delete attribution variables and to modify teaching attitude correlated with psychological need problems, job satisfaction and coping strategies.