Muslim Meaning: The name Nuri is a Muslim baby name. In Muslim the meaning of the name Nuri is: Shining. Hebrew Meaning: The name Nuri is a Hebrew baby name. In Hebrew the meaning of the name Nuri is: My fire.Israeli Meaning: The name Nuri is an Israeli baby name. In Israeli the meaning of the name Nuri is: My fire.uslim Meaning: The name Nuri is a Muslim baby name. In Muslim the meaning of the name Nuri is: Shining. Hebrew Meaning: The name Nuri is a Hebrew baby name. In Hebrew the meaning of the name Nuri is: My fire.