King Abdullah told the Washington Post in an interview published Thursday that Iran was involved in "strategic problems" in the region.
"There is an attempt to forge a geographic link between Iran, Iraq, Syria and Hezbollah/Lebanon," he said.
He added that Iranian Revolutionary Guard troops are within 70 kilometres (45 miles) of Jordan's border and that non-state actors approaching the frontier "are not going to be tolerated".
In a response published in Arabic by Iran's Fars news agency yesterday, Iranian foreign ministry spokesman Bahram Ghassemi described the king's comments as "silly and careless".
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Ghassemi said the Jordanian monarch's comments showed "his ignorance and his superficial view of developments in the region."
"It would be better if (Abdullah) put aside some of his time to study the logic, history and geography of the region," he said.
Jordan's foreign ministry yesterday said it had summoned Iran's ambassador in Amman, Mujtaba Fardousi Bour, to deliver a "strongly worded protest".
It said Ghassemi's "unacceptable" comments were "a failed attempt to misrepresent the central role the kingdom plays in supporting regional security and stability and fighting terrorism."
Iran with Russia is the closest ally of the regime of President Bashar al-Assad and has provided money, weapons, military advisers and trainers, as well as volunteer militiamen to support it in the six-year civil war.