"It will have significant negative effects on the peace process in the Middle East and the security and stability of the region", said a statement on Saudi state news agency SPA.
Five European countries that sit on the UN Security Council on Tuesday rejected Trump's decision to recognise the Golan as Israeli territory and voiced concern the move could have broad consequences.
Qatar's Foreign Ministry rejected the American move and said that the Golan Heights are occupied Arab land.
The letter urged the rest of the countries to comply with the UN Charter and the Security Council Resolutions 'instead of further destabilizing the region with futile attempts to justify Israel's acts contrary to global law'.
Breaking decades of global consensus, US President Donald Trump signed a proclamation at the White House on Monday recognizing Israeli sovereignty over the border area that Israel seized from Syria in 1967.
Syrians protest in the northern city of Aleppo against the US decision to recognize Israel's sovereignty over the Golan Heights, March 26, 2019.
SANA said another protest took place in the southern city of Daraa.
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Turkey's foreign minister said the United States had ignored global law.
He expressed regret for the move, saying that it constituted "one more step done by Washington in clear violation of global law".
On Friday, Syria wrote a separate letter urging the council to uphold resolutions demanding that Israel withdraw from the Golan. Rouhani said developments in the Golan Heights were "very risky for regional security".
"The UN's policy on the Golan is reflected in the relevant resolutions of the Security Council, and that policy, again, has not changed", said Stephane Dujarric, spokesman for the secretary general.
Hassan Nasrallah, the leader of Lebanon's Iran-backed Hezbollah movement, and a key Damascus ally, said the move was evidence of United States "disdain and disregard" for the Arab and Muslim world and of global law.
The Golan Heights were seized by Israel from Syria during the Six-Day War in 1967.
Lebanon said the move undermines any efforts to reach peace in the region.
Any attempts by Israel to expand its territory by way of "force and aggression" would only isolate the Jewish state, said the statement. "Canada's long-standing position remains unchanged". European Union countries, including Germany and France, criticized Pres. Trump's decision on Jerusalem. "Any declaration of a unilateral border change goes against the foundation of the rules-based global order".