Iran sealed another deal in June worth around $25 billion with the USA aerospace heavyweight, Boeing, for the purchase of 100 passenger planes.
CEO Iran Air Mr. Farhad Parvaresh and Deputy Minister for International Affairs at the Ministry of Road and Urban Development Asghar Fakhrieh Kashan were onboard the newly-purchased aircraft.
The 238-seat aircraft delivered on Friday was originally built for Latin American airline Avianca but was bought back by Airbus after that airline negotiated a reduction in its orders.
On Jan, 12, first Airbus A321 plane, as Iran's first brand-new plane in over 37 years, had landed in Tehran.
The first Airbus plane - an A320 - arrived in Tehran on January 11.
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Its delivery to Iran was made possible under a 18-billion-dollar deal Iran signed with Airbus previous year to purchase 100 new planes, including 46 aircraft from the A320 family, 38 from the A330 family, and 16 from the A350 XWB.
Uncertainty remains over the timing of the rest of the orders as banks shy away from deals with Iran, fearing a "snapback" of global sanctions or US fines if they are deemed to be breaking USA sanctions that remain in force.
IranAir is also in talks to finalise a deal to buy 20 aircraft from European turboprop maker ATR.
Under the deal, limits were put on Iran's nuclear activities in exchange for, among other things, the removal of all nuclear-related bans against the Islamic Republic.