The case will be heard "during the first session of October Term 2017", as the government "has not requested that we expedite consideration of the merits to a greater extent", the court said.
It was on January 27 - 151 days ago as of Tuesday - that Trump signed an executive order, later struck down by the courts, that banned citizens from Iraq, Syria, Iran, Libya, Somalia, Sudan and Yemen for 90 days and refugees from Syria indefinitely.
The ruling sets up a potential clash between the government and opponents of the ban over the strength of visitors' ties to the United States. But officials in Washington and Hawaii pressed ahead with challenges, arguing the ban even in its revised form is unconstitutional and discriminates against Muslims.
- A foreign national who seeks to enter the United States to live with a family member, such as a spouse or mother-in-law.
David Cole, national legal director of the American Civil Liberties Union, said the ruling's impact would be limited and the real crunch would come in October.
In effect, that means that individuals from the designated countries who have never been to the USA before, or lacked a relationship with an American or American organisation could still have their visa denied during the three-month period.
"As President, I can not allow people into our country who want to do us harm". All six have been designated as presenting heightened concerns about terrorism and travel to the United States.
For now, the fate of the ban is up to the Supreme Court.
"The question is whether President Trump re-issues the ban, or some similar order, to keep the dispute live going forward", said Stephen Vladeck, a law professor at the University of Texas School of Law.
While the ban did not single out Muslims, lower court judges cited Trump's repeated campaign statements that he meant to ban Muslims from entering the United States.
The partial stay issued by the Supreme Court allows Trump's travel ban to go into effect in part, but only for a few months.
President Donald Trump speaking at a Make America Great Again Rally in Cedar Rapids, Iowa.
Mayor Martin J. Walsh and immigrant advocates pushed back on a Supreme Court ruling that temporarily upheld parts of President Trump's travel ban, calling on the court to nix the ban when it takes up the matter in the fall. "My number one responsibility as commander in chief is to keep the American people safe".
"It's good for me, but then what about the people who just finished their bachelor degree and want to go for PhD like me?"
"If they ultimately uphold those orders in their entirety those people would not be able to come anymore, but right now the door is still at least partially open", Nations said.
"As President, I can not allow people into our country who want to do us harm". In the meantime, people with no relationship with the United States won't be able to enter. "And the courts below did not conclude that exclusion in such circumstances would impose any legally relevant hardship for the foreign national himself", the court said.