The present study was an evaluation attempt to investigate the practicality of interpretation procedures proposed by Fairclough (1989) in the critical analysis of Persian texts. The evaluation was implemented on the basis of a goodness criterion, analytical induction (AI) framework developed by Silverman (1993). In so doing, we went about the interpretation of the inaugural speech made by the president of Iran, Dr. Rohani to the United Nations General Assembly in New York in 2013. The interpretation was done according to the Fairclough’s interpretation model in light of AI theoretical framework. The outcome of the study supported the practicality of the overall interpretation model in the Iranian context. However, considering Iranian special sociolinguistic context, the study also put forward some suggestions with respect to the interpretation of local coherence and text structure in the lower section of the model as well as situational context and intertextual context in upper section.