Its Sepahnews website, citing General Mohammad Pakpour, head of the Guards' land forces, said "16 members of the terrorist group were arrested and several of them killed", as well as three Guards in the clashes in Fars province yesterday.
"The terrorists wanted to carry out attacks on border towns and in the centre of the country," he said.
Sepahnews reported earlier that the IS militants had infiltrated from western Iran's border with Iraq.
Last June, IS claimed responsibility for two attacks on Iran's parliament and the shrine of revolutionary leader Ayatollah Ruhollah Khomeini that killed 17 people and wounded dozens.
Iran has since tracked down and killed several suspected jihadists, and over the past few months authorities have announced the arrest of dozens of IS suspects in several regions.
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