Earlier, Trump said in an official statement issued by the White House, "Today's Supreme Court ruling is a tremendous victory for the American People and the Constitution. The Supreme Court has upheld the clear authority of the President to defend the national security of the United States. In this era of worldwide terrorism and extremist movements bent on harming innocent civilians, we must properly vet those coming into our country."
Trump went on to chide his perceived enemies for having called his travel ban unconstitutional and an overreach of his presidential powers.
"This ruling is also a moment of profound vindication following months of hysterical commentary from the media and Democratic politicians who refuse to do what it takes to secure our border and our country," Trump said.
"As long as I am President, I will defend the sovereignty, safety, and security of the American People, and fight for an immigration system that serves the national interests of the United States and its citizens. Our country will always be safe, secure, and protected on my watch."
Inside the West Wing, there was an air of vindication and even elation among the President and his senior aides as cable television shows broke in with breaking news bulletins announcing the Supreme Court's ruling.
"People really criticised the order, its implementation, they really criticised what the president was trying to do, they knee-jerk called it a 'Muslim ban,' and a lot of the counter arguments based on facts were falling on deaf ears," said one senior White House official. "The media and critics weren't listening. Hopefully they will now."
Donald Trump jnr, the President's eldest son, voiced a similar sentiment as he retweeted a news account of the court's ruling with the comment: "So, let me get this straight, youre saying it was constitutional all along?"
Justice Neil Gorsuch, whom Trump nominated early last year to fill a vacancy on the Supreme Court, was seen as a crucial vote with fellow conservative justices in upholding the travel ban.
Senate Majority Leader Mitch McConnell (R) celebrated the ruling by tweeting from his campaign account a photograph of himself shaking hands with Gorsuch.
Stephen Bannon, who as chief White House strategist was an architect of the travel ban, said that the court's ruling vindicated Trump and his Administration after receiving a year and a half of attacks from the political left over the policy.
"Donald Trump ran on and won because of his commitment to keep America safe," Bannon said. "Today's Supreme Court ruling on his travel ban is a vindication of the president, his Administration and the will of the American people."