Abdullah Mahmoud al-Khalidi was shot dead late on Monday in the capital’s Rukn al-Din district, it said.
The attack appears to be the latest in a string of rebel attacks on high-level figures from President Bashar al-Assad’s administration.
In July a bomb killed the country’s defence minister and Bashar al-Assad’s brother-in-law, Assef Shawkat.
“As part of their campaign to target national personalities and scientists, armed terrorist groups assassinated Air Force General Abdullah Mahmud al-Khalidi in the Damascus district of Rukn al-Din,” the broadcaster said.
It added that he was one of Syria’s foremost experts in aviation.
Abdullah Mahmoud al-Khalidi was also a member of the Syrian Air Force command, Agence France Presse reports.
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