"The state with its military forces and planes has been providing military and logistical support, and has supplied ammunition and arms to the town," said Omran al-Zohbi, in comments published in the Syrian press on Wednesday.
Although it is not part of the US-led coalition fighting the Islamic State (IS) jihadist group, Damascus "will continue to give military aid to Kobane at the highest level", he said.
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"From the outset of the battle, the state has not hesitated to play its military, political, social and humanitarian role" because the town is "Syrian territory and its residents are Syrians", said Zohbi.
Syrian Kurdish forces in Kobane on the border with Turkey have been holding out against the IS, which controls swathes of territory in northern and eastern Syria and neighbouring Iraq, with the backing of US-led air strikes.
Fierce clashes since September 16 have left more than 700 dead, according to monitors, and sent over 300,000 people into flight across the border in Turkey.