Gunmen have assassinated an army general in Damascus, Syria's state-run news agency says.

It's the first killing of a high military officer in the Syrian capital since the uprising against president Bashar Assad's regime began in March.

The SANA news agency says three gunmen opened fire at Brigadier General Issa al-Khouli today as he left his home in the Damascus neighbourhood of Rukn-Eddine.

Al-Khouli was a doctor and the chief of a military hospital in the capital. The attack indicates that violence in Syria is reaching the tightly controlled capital, which has been relatively quiet compared to other cities.

Assad's crackdown of the uprising has killed more than 5,400 people, according to UN figures.

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