The aim of this study is to examine the association between mindful parenting and a child's social competence and behavior, and a mediation chain model was presented to explore the mediating influence of parenting stress and parent-child relationship on the relationship between mindful parenting and a child's social competence and behavior. With a cluster sampling method adopted in this study, 410 families with preschool children were investigated by general social data questionnaires. The data was analyzed by SPSS 27.0. According to the big data analysis, the study highlighted the significant role of mindful parenting in enhancing a child's social competence and behavior. This can be accomplished by alleviating parenting stress and fostering positive parent-child relationships.