Mass protests
Mr Trump says the restrictions are needed to keep America safe and prevent terror attacks.
However, critics including states and refugee advocacy groups have said the ban discriminates against Muslims.
An initial version of the ban, published in January, sparked mass protests at airports and a series of legal challenges that prevented its implementation.
Mr Trump drafted a new version in March, dropping Iraq from the list of countries, clarifying the position of “green card” holders, removing priority for “religious minorities” in mostly-Muslim countries, and softening a tough stance on Syrian refugees.
But courts struck down the new version within days, with a Virginia court claiming it was “rooted in religious animus” toward Muslims.
That prompted the Trump administration to go to the Supreme Court for a ruling, where conservatives hold a majority of five to four.
The nation’s highest court allowed the ban to go ahead temporarily, until it makes a full decision in October.
Source: BBC News