A statement from Sudan's Ministry of Foreign Affairs said the country wouldn't install the defensive missiles "for fear it could be misinterpreted by some Gulf states."
In October 2012, Sudan claimed that Israeli airstrikes caused an explosion and fire at a military factory south of the capital, Khartoum, killing two people.
It said four aircraft hit the Yarmouk complex, setting off a huge blast that rocked the capital before dawn.
Israel never claimed the attack, but Israeli officials at the time said Sudan played a key role in an Iranian-backed network of arms shipments to hostile Arab militant groups across the Middle East.
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Sudanese President Omar al-Bashir has been indicted by the International Criminal Court on charges of genocide, war crimes and crimes against humanity.
Sudan was a major hub for al-Qaida militants and remains a transit for weapon smugglers and African migrant traffickers.
The US imposed economic, trade and financial sanctions against Sudan in 1997, citing the Sudanese government's support for terrorism, including its sheltering of al-Qaida founder Osama bin Laden in the mid-1990s.
In 2009, Sudan accused Israel of carrying out an airstrike on an arms convoy near the Red Sea in eastern Sudan.