'May we unite in prayer and practice to cleanse our faith and Ummah from the violence and hatered promoted by extremist demagogues,' Zarif said in a post in his twitter account.
The first day of the month of Shawal marks the end of the fasting month of Ramadan and is celebrated as Eid al-Fitr across the Muslim World.
Earlier, President Hassan Rouhani and First Vice-President Ishaq Jahangiri issued congratulatory messages to Muslim governments and nations.
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