Trump said the ruling follows 'months of hysterical commentary from the media and Democratic politicians who refuse to do what it takes to secure our border and our country'.
Tuesday's court decision means the ban will remain in effect.
Mr Roberts rejected the challenger's claim of anti-Muslim bias, but was careful not to endorse any of Mr Trump's provocative statements.
Trump threatens more tariffs against China
US stock markets fell sharply Tuesday, with investors increasingly nervous about the impact of the escalating fight. Last week, the White House introduced 25-percent tariffs targeting $50 billion of Chinese imports to the country.
Heather Locklear arrested for alleged attack on deputy, EMT
The police were originally alerted to the situation by a family member, who informed them of a disturbance near her home. Heather Locklear was arrested Sunday night after attacking a police officer and a paramedic, it's been confirmed.
"The Supreme Court has upheld the clear authority of the President to defend the national security of the United States", Trump said. The initial order, signed one week after he took office in January a year ago, led to days of nationwide protests and chaos at airports across the country.
Justice Sonia Sotomayor, writing the dissent, said they show that the travel ban was motivated by animosity toward a disfavored group.
Trump's tweet contradicted what then-Press Secretary Sean Spicer told reporters in January 2016 when he insisted Trump's executive order is "not a travel ban."
"America is not flawless, we understand that, we don't pretend otherwise, but this is a step backwards", said Moh Kilani.
Coons says Trump's travel ban "is not only discriminatory and counterproductive, it stands in direct contrast to the principles embedded in our Constitution and our founders' vision of a nation where all people are free to worship as they choose". In addition, the ban also covered North Korea and Venezuela.
Mubarak with CAIR told Spectrum Newsmany Muslims feel hopeless about the ban and are anxious more countries could be added.
Panama name unchanged line-up for 'hardest game by far'
England head coach Gareth Southgate on the supposedly leaked team sheet: "There is a squad of 23 names on the sheet". Kieran Trippier was a key man for England against Tunisia , and expect the Tottenham wing-back to start on Sunday.
Bulldog named Zsa Zsa wins World's Ugliest Dog contest
Last year's victor was a 125-pound (57-kilogram) gentle giant named Martha - a Neopolitan Mastiff with gas and a droopy face. The dog's owner, Megan Brainard , found the dog through a pet-finding site and she has now won $1,500 for Zsa Zsa's win.