Israeli Prime Minister Benjamin Netanyahu will meet President Trump in Washington on February 15.
White House spokesman Sean Spicer said their talks will cover a range of issues around security.
Mr Spicer told reporters: "Our relationship with the only democracy in the Middle East is crucial to the security of both our nations, and the president looks forward to discussing continued strategic, technological, military and intelligence cooperation with the prime minister."
In a series of tweets, Mr Netanyahu said he "deeply appreciated" the gesture and "looks forward" to the meeting.
I deeply appreciate President Trump's kind invitation to come to Washington and the warm words about Israel.
I look forward to discussing with him the areas of cooperation between us that are so vital to the security & well-being of our 2 countries.
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The US president-elect has said the United Nations is failing to live up to its potential, heaping further criticism on the body in the wake of a UN vote on the legality of Israeli settlements.
Donald Trump's comments follow Secretary of State John Kerry's speech defending the US decision to abstain from that vote.
"There is such tremendous potential, but [the UN] is not living up [to it]. When do you see the United Nations solving problems? They don't. They cause problems," Mr Trump said.
Trump offered little comment on Kerry's speech, telling reporters that it "spoke for itself", but he has assured Israel that it merely needs to "hang on" until his administration takes over from that of Barack Obama.
Palestinian President Mahmoud Abbas has said he is ready to resume peace talks with Israel - if the country halts settlement construction.
On Wednesday, Abbas said he would be prepared to resume talks "within a specific time frame and on the basis of international law."
His comments came after a speech by US Secretary of State John Kerry, outlining America's rationale behind a decision not to veto a UN resolution demanding further Israeli settlement building be halted.
The speech was earlier described by Israeli PM Benjamin Netanyahu as a "great disappointment".
John Kerry's speech on settlement in Israel was "skewed" and "obsessive," the Middle Eastern country's Prime Minister claims.
Benjamin Netanyahu slammed the speech, made on Wednesday in Washington, as "biased" against Israel.
The Israeli PM said Secretary of State Kerry's speech - which justified US opposition to further settlement building in the region - ignored the root of the conflict.
Netanyahu cited the root as being Palestinian opposition to a Jewish state within any borders.
Kerry's speech indicated the US belief that Israeli actions were threatening peace in the Middle East.
"Like the Security Council resolution, that Secretary Kerry advanced in the U.N., his speech tonight was skewed against Israel," a statement said.
"The Israeli leader said Kerry "obsessively dealt with settlements".