The funeral was held at the holy shrine on Saturday evening.
The Salat al-Janazah (funeral prayer) was led by the custodian of the holy shrine, Ayatollah Seyed Mohammad Saeedi.
Sheikh Kourani died this week at the age of 64 after some eight months of illness.
Born in 1955 in the Jabal Amel region in south of Lebanon, he studied Islamic sciences in Najaf and Qom.
He had an active participation in the establishment of Lebanon’s Hezbollah resistance movement.