The current research was conducted by the aim of studying the moderator role of age, Intelligence, and gender in relation to the Executive functions and reading function of elementary students.The sample included 250 students (124 boys and 126 girls) in elementary level that were selected by Multi-stage cluster sampling method among students of Karaj. Different functions were measured as these: Reading through reading test of Karami-noori and Moradi, intelligence by Ravenchr('39')s Progressive Matrices, working memory by Memory span test, attention by Continuous Performance Test, and planning and inhibition by Behavior Rating Inventory of Executive Functions (brief). Statistical methods of Pearson correlation and regression analysis were used.The correlation results showed that there is a positive and significant relation between executive functions (working memory, inhibition, subjective planning, and attention) and reading. Regression analysis result showed that intelligence and gender have not a moderator role in the relation of executive functions and reading.  But, age had a moderator role in the relation of executive functions and reading. The results of this research was consistent with Miyakechr('39')s theory that believes executive functions are separate but related to each other, and individual differences of the students in these functions should be considered, because they affect their school performance.