The invitation was delivered to the UAE president, Sheikh Khalifa bin Zayed al-Nahyan, by Iran's Foreign Minister Mohammad Javad Zarif on Wednesday during a meeting between the two in a palace in al-Ain, in the east of the Emirates.
"The date for the visit will be announced at a later stage," WAM said.
Sheikh Khalifa told his guest that the UAE welcomes the nuclear deal, stressing that his nation aspires for "strengthened security and stability in the region and cooperation between countries," WAM said.
Zarif is in the UAE as part of a Persian Gulf tour that has taken him to Kuwait, Oman and Qatar.
He said Iran's newly elected president Hassan Rouhani wishes to strengthen relations with Persian Gulf countries, "stressing that Iran gives high importance to its relations with neighbors, especially the UAE," WAM reported.
In Kuwait, Zarif reassured Persian Gulf Arab states on Sunday that Tehran's nuclear deal is in their interest.
The deal was struck in Geneva last month between Iran and the P5+1 -- Britain, China, France, Russia and the United States, plus Germany.
The Persian Gulf states have called on Tehran to fully cooperate with the UN nuclear watchdog in implementing the deal.
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