• Tested psychometric properties and cross-sex invariance of the BI-AAQ and FAS. • Unidimensional structure of the BI-AAQ was not replicated. • Unidimensional structure of an abbreviated BI-AAQ and the FAS was replicated. • Each measure had good psychometric properties. Body image flexibility and functionality appreciation are two facets of positive body image gaining significant research attention. The measures that assess these constructs― the Body Image Acceptance and Action Questionnaire (BI-AAQ) and Functionality Appreciation Scale (FAS), respectively―have produced a unidimensional structure with adequate psychometric properties. However, the cross-sex invariance of the BI-AAQ has yet to be established, and replicating the FAS' one-factor structure is needed. We examined the factor structure, cross-sex invariance, and psychometric properties of the BI-AAQ and FAS. Data were analyzed from 383 men and 631 women who completed questionnaires (participants were not restricted to a specific country). An unacceptable model fit for the BI-AAQ was found for men and women, indicating that the unidimensional structure was not replicated. The unidimensional structure of the FAS and an abbreviated 5-item BI-AAQ was replicated, and tests of measurement invariance between men and women were upheld. Evidence of internal consistency, convergent validity, and incremental validity for the abbreviated BI-AAQ and FAS was found. Overall, the abbreviated BI-AAQ and the FAS appear to be psychometrically sound measures of positive body image. Findings suggest that sex comparisons on the abbreviated BI-AAQ and FAS are permissible. [ABSTRACT FROM AUTHOR]