The cleric died in a Kuwaiti hospital at the age of 73 after a long illness, Wataniya website reported.
Iraqi scholars and personalities have offered condolences to the family of al-Tuwairjawi, praying for the departed soul to rest in peace.
Born in 1947 in the holy city of Najaf, al-Tuwairjawi traveled to many countries, including Syria, Bahrain, Lebanon and Kuwait, for preaching and reciting the Quran.