One of the projectiles landed in a residential complex for employees of Oguzeli airport, some 20 kilometres (12 miles) outside the city and another came down in scrubland, according to Dogan.
The rockets fell around 10:50 am (0750 GMT), the agency said, adding military officials and the governor of Gaziantep were inspecting the damage.
The nearby city of Kilis, just a handful of kilometres from the Syrian border, has been struck several times this year by rockets which Ankara says were fired by Islamic State fighters. Missiles rarely penetrate deeper into Turkish territory.
Gaziantep lies around 30 km further north away from the border.
Also Read
It was not clear if the rockets were "strays" from fighting in northern Syria or if they constituted a deliberate attack on the airport.
Several European leaders including German Chancellor Angela Merkel and European Council President Donald Tusk visited Gaziantep only last month.
Turkish forces say they have responded to rocket attacks by bombarding IS positions in northern Syria.