Leading a high-ranking politico-economic delegation, the Iraqi primer will arrive in the Iranian capital on Wednesday.
During his stay, he is planned to meet with Leader of the Islamic Revolution Ayatollah Seyed Ali Khamenei and Iranian President Hassan Rouhani.
Arriving from Egypt, Abadi met Jordanian King Abdullah II during his several-hour visit to Amman late Sunday.
Abadi began his regional tour, which will later take him to Kuwait, with a visit to Saudi Arabia on Saturday.