The ban applies to travelers from Iran, Libya, Syria, Yemen, Somalia and Chad.
In recent weeks, the 9th Circuit Court of Appeals, based in California, and a federal judge in Maryland adopted that standard and applied it to Trump's latest order.
In light of its decision to consider the case on an expedited basis, we expect that the Court of Appeals will render its decision with appropriate dispatch.
Even as Mr Trump sought to minimise Mr Flynn's misdeeds, the Kremlin insisted that Mr Flynn's conversations with the Russian ambassador to the US had not influenced President Vladimir Putin's response to sanctions imposed by Mr Trump's predecessor.
The New York Immigration Coalition Executive Director, Steven Choi, said that it is entirely unacceptable and un- American to discriminate against people based on race or religion.
Justices Ruth Ginsburg and Sonia Sotomayor, appointed respectively by Bill Clinton and Barack Obama, dissented to Monday's ruling.
The images recalled the death of another Arab leader slain in the midst of his country's uprising: Libyan leader Moammar Gadhafi, whose body was shown in a video being abused by rebels who killed him in 2011.
In a Win for Trump, Supreme Court Upholds 'Extreme Vetting' Travel Ban
The revised plan approved by the Supreme Court ruled visitors from flagged countries had to prove a "credible claim of a bona fide relationship with a person or entity in the United States".
The Trump administration said the president put the latest restrictions in place after a worldwide review of the ability of each country in the world to issue reliable passports and share data with the United States. The second one expired in September after a long court fight and was replaced with the present version.
The administration has said the ban is not discriminatory and pointed out that many Muslim-majority countries are unaffected by it.
This story will be updated. "This president cannot do things that would be perfectly legal if any other president did them, under this standard, because the courts will rule against his past demagogy rather than the policies themselves".
And the government says that the difference here is that there are non-Muslim countries who are on the list.
Immigrant advocates said Monday's ruling is a blow to those who have fought Trump's travel ban since January.
KELLY: Fascinating. Thank you, Richard. The 4th U.S. Circuit Court of Appeals will arguments on the merits of case spearheaded by the ACLU on Friday in Richmond.