The call was made in response to the recent kidnapping and killing of eight security members by Islamic State (IS) militants, reports Xinhua news agency.
On the directions of al-Abadi, the executions were carried out on Thursday.
On Wednesday, Iraqi forces found the bodies of eight people kidnapped earlier by the IS near the village of Sarha at the provincial border between Diyala and Salahudin in central Iraq.
The bodies belonged to policemen and members of paramilitary Hashd Shaabi forces.
The increase in executions in Iraq has sparked calls to stop capital punishment by the UN mission in Iraq, European Union and some international human rights groups, which have criticized the lack of transparency in Iraqi courts.
The death penalty in Iraq was suspended on June 10, 2003, but was reinstated from August 8, 2004.
(This story has not been edited by Social News XYZ staff and is auto-generated from a syndicated feed.)
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