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Background: The birth and presence of a child with intellectual disability in families will lead to different types of emotional and cognitive reactions. Therefore, some of the mother’s of such children do not have flexible thinking and as a result the ability of operation in unpalatable condition becomes more difficult and they can not manage there emotion in such conditions easily. Also, these mothers suffer more tensions due to the lack of high psychological capital. Aims: The aim of this research was to develop a structural model of happiness of mothers with children with intellectual disabilities based on psychological capital with the mediation of cognitive flexibility Methods: The method of the present study was applied in terms of purpose and in terms of descriptive nature, and is based on structural equation modeling method. The statistical population of this research included mothers with children with intellectual disabilities who have a file in Tehran's special education organization (Tehran's exceptional schools, academic year 1401-1400).. bye considering the possiblity of drop off, of samples, the sample size in the present study was also considered to be 300 people from Tehran. The sampling method used is also called availablity. Oxford happiness questionnaire (Argyle, 2005), psychological resource questionnaire (Luthans Et all, 2007), and cognitive flexibility questionnaire (Dennis & Vander Wal, 2010) were used to collect data. Data were analyzed using Pearson correlation tests using SPSS version 25 software and structural equation modeling using Amos version 8.8 software. Results: results showed that happiness based on psychological resources of mothers who have children with intellectual issues (through flexibility) has indirect effect (P= 0/000). About 77% of the mentioned relationship is explained by the effect of psychological resources on happiness through flexibility (P= 0/020). Conclusion: It seems that considering that mothers with children with intellectual disabilities are less flexible in dealing with issues and problems and can hardly accept issues and problems, therefore, it is better to conduct more extensive research with more samples in These families should be done. [ABSTRACT FROM AUTHOR]