The one-page Egyptian-drafted text, seen by Reuters, does not specifically mention the United States or Trump.
Mansour said Palestinians resorted to the "Uniting for Peace" resolution in the 1990's after Israel began building a settlement on Jabal Abut Ghnaim, a hilltop on occupied West Bank land south of Jerusalem, but left that session in suspension.
"But, God willing those days are near and. we will officially open our embassy there", he said, without giving any precise timescale.
His announcement comes after Turkey hosted a summit of Muslim world leaders.
The briefing comes amid a flurry of diplomatic activities following the decision by the USA administration on December 6 to recognize Jerusalem as Israel's capital and to move the US embassy from Tel Aviv to Jerusalem. It captured East Jerusalem in the 1967 Middle East war and annexed it in a move never recognised internationally.
The United Nations Security Council will on Monday vote on a draft resolution that the recognition of Jerusalem as Capital of Israel has no legal effect.
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Back to July 1980, Israel passed a law that declared Jerusalem as the united capital of Israel, but the United Nations Security Council responded with a resolution condemning Israel's annexation of East Jerusalem and declared it a violation of global law.
Support for Palestine State has also come from China, according to Russia Today.
In a statement issued on Saturday, the Movement said: "We stress on the need to stage protests at the entrances to Jerusalem and in its Old City to coincide with the visit of US Vice President Mike next Wednesday". The Palestinians hope that part of the city will be the capital of a future independent state.
"Furthermore, hopefully, we can gather more support for Palestine". Police estimated the number attending the rally, organised by various Muslim groups, at about 80,000.
On Saturday, four Palestinians were killed and hundreds wounded on Saturday in clashes with Israeli forces as tens of thousands demonstrated against Washington's recognition of Jerusalem as Israel's capital.
The Palestinians had sought a toughly-worded draft resolution that would have directly called on the United States administration to scrap its decision.