The foreign ministry also said that the "root causes" of the humanitarian crisis must be treated, singling out "foreign-backed terrorism" and sanctions placed on President Bashar al-Assad's regime by Western and Arab countries.
The Security Council, which has been sharply divided over the nearly three-year Syrian conflict, unanimously adopted resolution 2139 yesterday, calling for humanitarian aid convoys to be allowed access across the war-torn country.
According to the ministry statement, which was published by state news agency SANA, Syria is ready to cooperate with the UN mission and international humanitarian organisations "to agree on the implementation of resolution 2139."
Damascus said the resolution, which condemns terror attacks by Al-Qaeda-linked organisations, was an "admission" by the Security Council of the presence of "extremist Al-Qaeda-linked terrorism" in Syria.
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It described the UN condemnation as "a step in the right direction."
Since the March 2011 start of Syria's uprising -- which began as peaceful protests but escalated into a civil war after security forces repeatedly attacked demonstrators -- Assad's regime has blamed the violence on foreign-backed "terrorism."
The ministry said the latest resolution "must be followed by steps to force states involved in providing financial and military support, training, refuge and arms to terrorist groups in Syria to stop supporting terrorism."
The statement appeared aimed at Saudi Arabia, Qatar and Turkey, which have supported the rebels battling Assad's forces. The regime has received support from Russia, Iran and the Lebanese Shiite movement Hezbollah.