Objective To explore the potential profiles and influencing factors of family functioning among parents of children with autism spectrum disorder (ASD) and analyze its relationship with psychological capital, so as to provide a basis for improving the family functioning and enhancing the level of psychological capital in this population. Methods A total of 315 parents of children with ASD was recruited through the convenience sampling.A general information questionnaire, the Family Assessment Device, and the Positive Psychological Capital Questionnaire were used for the survey.Latent profile analysis was employed to identify latent profiles of family functioning among the participants, followed by an analysis of the influencing factors.Differences in psychological capital scores across different latent profiles were compared. Results The family functioning among parents of children with ASD can be classified into three latent profiles:low family functioning-dysfunctional type (accounting for 33.97%), moderate fa-mily functioning-general type (accounting for 53.65%), and high family functioning-balanced development type (accounting for 12.38%).Monthly household income per capita, whether living in a different location, and the number of comorbidities in the child were influencing factors for the potential profiles of family functioning in parents of children with ASD (all P＜0.05).There were statistically significant differences in the total score of psychological capital and its subscale scores across the different latent profiles (all P＜0.05). Conclusion Family functioning among parents of children with ASD exhibits heterogeneity. Parents with better family functioning also show relatively higher levels of psychological capital.It is recommended to develop personalized intervention strategies based on the characteristics and influencing factors of different family functioning profiles, to enhance the psychological capital of these parents.