A frequent criticism of Trump's decision in foreign policy circles is that he won no concessions from Israel toward what the president has billed as "the deal of the century", a peace pact that senior aides have been trying to broker between Israel and Palestinians.
Mass Palestinian protests are expected in the West Bank and the Gaza Strip as Mr Trump does away with decades of USA foreign policy, moving the mission a day before the 70th anniversary of the day that the Palestinians consider to be their "catastrophe", known as the Nakba, the displacement of some 700,000 Arabs was a result of the creation of the state of Israel in 1948.
Netanyahu welcomed an American delegation, led by Trump's daughter Ivanka and her husband, Jared Kushner, at a celebration in Israel's Foreign Ministry in Jerusalem on Sunday evening. The Friends of Zion Museum has promised to bestow this award on any leader who will follow in President Trump steps and move their embassy to Jerusalem.
The tunnel had reached just a few meters from the border, adjacent to Israeli communities, the military said.
The heritage center is located in the heart of Jerusalem's Nahalat Shiva neighborhood and works to educate visitors about the courageous non-Jews who assisted the Jewish people during the British Mandate in Palestine, the Holocaust, and the State of Israel's early days as a new nation.
Washington's ambassador to Israel also said that there is still hope for peace in the region.
Gaza's ruling Hamas movement is urging tens of thousands of people to join Monday's protest - which is meant to coincide with the opening of the new U.S. Embassy in contested Jerusalem.
Israel says it is protecting a sovereign border and accuses Hamas of using the unrest to plan and carry out attacks.
But the president's actions in Jerusalem have only revived memories of the very day that the Palestinians will mourn 24 hours after the embassy move, according to Mr Shaath.
He said the USA "is there to help the Palestinians" and "there is no basis" to think the embassy move will work against peace.
The closure of the vital cargo crossing comes at a tense time in Gaza, which has endured a border blockade by Israel and Egypt since Hamas assumed control of the territory in 2007.
She is one of five USA officials who are part of the delegation for the opening, led by Deputy Secretary of State John J. Sullivan, that President Donald Trump will not attend.
Israel captured east Jerusalem, along with the West Bank and Gaza Strip, in the 1967 Mideast war.