ISIS leader Abu Bakr al-Baghdadi was not one of the men captured - who now has a $25million bounty on his head from the US State Department.
The list did not include Islamic State leader Abu Bakr al-Baghdadi.
The group of senior ISIS leaders was in hiding in Syria and Turkey, and their arrest was part of a three-month sting operation.
Riyadh al-Badran, an IHEC senior official, told the official Iraqiya TV channel that "he would not announce the results of the early ballot by the security forces, prisoners and the voting overseas".
In a tweet this afternoon, the United States leader said: "Five Most Wanted leaders of ISIS just captured!".
Iraqi agents were then able to use the Telegram messaging app on his mobile phone to lure four other Islamic State commanders across the border from Syria into Iraq, where they were captured.More news: Browns Have Baker Mayfield Doing Extra Work Under Center
The security advisor to the Iraqi government went on say that Iraqi intelligence agents, in cooperation with U.S. forces, had managed to uncover bank accounts used by Daesh and decipher secret communication codes Eithawi used.
Abadi said Iraqi forces are already deployed at the Sulaimani and Erbil airports, further elaborating on the status of the central government's presence in the Kurdistan Region with "even the Iraqi Intelligence Service [active] in the region".
The Iraqi air force has carried out several air strikes since previous year against ISIS positions in Syrian territory. An official said of al-Baghdadi: "His movements are discreet and he never travels in a convoy".
Abadi declared final victory last December over the ultra-hardline group within Iraq.
"Iraq will continue airstrikes in Syria and will do more to eliminate Daesh group".