Based on the theory of Artificial Neural Network, the psychological resilience of the elderly was formed using the content analysis method, and 105 persons were chosen as the experimental samples, the psychological resilience analysis was done through literature review and questionnaire. Referring to the American behavioral expert (Connor - Davidson)'s resilience questionnaires, questionnaires were distributed in papers and online among the elderly. Statistical software SPSS was used to conduct the statistical analysis, and differences in resilience were investigated in detail. Afterwards, the BP Artificial Neural Network model was established by Matlab based on the questionnaire results, and the psychological resilience of the elderly was generated on the basis of BP Artificial Neural Network model. In this study, the emotional demands on the psychological resilience of the elderly were constructed, and experiments and statistical analysis were carried out, which would lay a solid foundation for the study of the psychological resilience in theory and method.