According to Al-Sumaria news, a police source in the province said the members of the Takfiri group were arrested before carrying out their plot.
He said they had set up training camps to get ready for carrying out terrorist attacks in Dhi Qar.
Iraq has been facing the growing threat of terrorism, mainly posed by the ISIL terrorist group.
The ISIL militants made swift advances in much of northern and western Iraq over the last summer, after capturing large swaths of northern Syria.
However, a combination of concentrated attacks by the Iraqi military and the volunteer forces, who rushed to take arms after top Iraqi cleric Ayatollah Ali al-Sistani issued a fatwa calling for fight against the militants, have blunted the edge of the ISIL offensive.