The court returned the case to the lower courts for a further ruling.
"I am thrilled the courts are starting to back up President Trump", she said.
Some civil liberties groups and immigration advocates likened the ruling to a 1944 Supreme Court decision upholding an executive order that required Americans of Japanese ancestry to be sent to detention camps.
At a minimum, we have to make sure that we vet people coming into the country; we know who's coming in; we know where they're coming from.
"For my family, personally, and my uncle who was first person to come to the United States, who came here seeking political asylum, it's a real disappointment to put it mildly that a country that had welcomed him previously with open arms is now closing the door to Muslim families", said Leila Amirhamzeh, 41, of New Jersey, which is home to one of the country's largest Muslim populations.
The Supreme Court ruling will likely prompt the administration to argue that courts should be just as deferential to the president's other immigration policies, so allowing the statements by Trump is not a complete victory for plaintiffs in other suits, said Stephen Yale-Loehr, a professor of immigration law practice at Cornell Law School. Our country will always be safe, secure, and protected on my watch.
Dawud Walid, executive director of the Council on American Islamic Relations' Michigan chapter, calls the travel ban cruel for keeping families apart - much like Trump's recently rescinded policy of separating immigrant parents and children at the U.S. -Mexico border.
Although a judge in Hawaii ordered the government last fall not to enforce the latest travel ban, the Supreme Court lifted that order in December, and the restrictions have been in place since then.
Soon after the court's ruling, Trump took to his Twitter and tweeted, "SUPREME COURT UPHOLDS TRUMP TRAVEL BAN".
A week into his presidency, Trump enacted a campaign promise and announced a 90-day ban on travelers from Iran, Iraq, Libya, Somalia, Sudan, Syria and Yemen.
Salah injury stings Egypt as Pharaohs World Cup ends in a whimper
CNN first reported on Sunday that the Liverpool forward was deciding whether to return to the Egypt team after the World Cup. But the team was still eliminated from the World Cup after three straight losses in Group A.
In a dissenting opinion on Tuesday, Supreme Court Justice Stephen Breyer examined the waiver process at length, and mentioned a case of a Yemeni child with cerebral palsy who was initially denied a USA visa. Courts in several states found the measure was illegal, and did so again in March 2017 after the Trump administration slightly amended the original order, with Iraq dropped from the list.
The 5-4 decision Tuesday is the court's first substantive ruling on a Trump administration policy. He won a major victory as the USA supreme Court upheld his Muslim travel ban.
Supreme Court lawyer Neal Katyal, who represented the state of Hawaii and other challengers in the Supreme Court case involving Trump's travel ban, said he's disappointed with the decision.
The ruling was along partisan lines, with Chief Justice John Roberts writing for the conservative majority.
The third-ranking House Republican, Rep. Steve Scalise of Louisiana, calls it a "huge victory" for Trump's plan to strengthen national security "by keeping terrorists out of America".
Hundreds of people gathered in New York City's Foley Square on Tuesday evening to decry the Supreme Court decision.
But members from the Japanese American Citizens League - who said they were gathered to support their Muslim allies - wanted to tell the Supreme Court they believe that the ruling isn't making history; it is instead allowing history to repeat itself.
The high court has been issuing a number of decisions this week, including a ruling against a California law that required clinics to inform women of the availability of abortions paid for by the state.
Attorney General Jeff Sessions said in a statement that the decision was "critical to ensuring the continued authority of President Trump - and all future presidents - to protect the American people". "Plaintiffs and the dissent nonetheless emphasize that five of the seven nations now included in the Proclamation have Muslim-majority populations".
In the May 2017 documentary Bannon's War, FRONTLINE went inside the chaotic rollout of President Trump's initial suspension of travel into the U.S.by refugees and citizens from seven majority-Muslim nations on January 27, 2017.