Performance measurement is the most important factor to recognize the current situation and a driving force to improve activities. The aim of this study was to measure performance in selected Iranian sport federations using data envelopment analysis by an approach to fuzzy systems. Data envelopment analysis is a powerful method to calculate system efficiency that allows organizations to compare their performance with other organizations and then to make better decisions. Also, fuzzy models are more effective due to an environmental uncertainty about human thinking and judgment. The statistical population consisted of 14 selected Iranian federations (as they were main sport fields and important and medalists). The data were collected by a researcher-made questionnaire (reliability coefficient=%81). Using the math model (suggested fuzzy-liner programming), the results showed that football, volleyball, wrestling, weightlifting, taekwondo, karate, boxing, track and field federations were efficient during 4 years (2011-2015) and basketball, shooting, gymnastics, wushu, judo and swimming federations were inefficient.