In letters to UN Secretary General Ban Ki-moon and President of the Security Council Sylvie Lucas, the Syrian Foreign Ministry said Riyadh is still fanning the flames of turmoil in Syria.
The Syrian ministry added that Saudi Arabia has not halted supporting terrorist groups in Syria, Press TV reported.
Damascus said counter-terrorism laws recently passed in Saudi Arabia were part of an effort to deceive the international community.
According to the Syrian Foreign Ministry, the Saudi regime is promoting extremism in the region.
Syria has also pledged to provide the UN Security Council with the identity of nearly 230 Saudi militants killed during conflict in Syria.
Damascus wants the UN to pressure Saudi Arabia to give up support for terrorism.
Syria has been gripped by turmoil since 2011. Over 130,000 people have been killed and millions displaced due to the crisis.