In a message, Ayatollah Sistani condoled with the family of the deceased and prayed to God to grant his soul blessing and mercy.
Ayatollah Rafsanjani died at a hospital in northern Tehran on Sunday at the age of 82 due to a heart condition.
His funeral was held on Tuesday in Tehran and Leader of the Islamic Revolution Ayatollah Seyed Ali Khamenei led the funeral prayers at Tehran University.