The travel ban, one of the first executive orders Mr. Trump issued after taking office, suspended worldwide refugee entry into the United States. It also barred visitors from seven Muslim-majority nations for up to 90 days to give federal security agencies time to impose stricter vetting processes.

Immediately after it was issued, the ban spurred chaos at airports and protests nationwide as foreign travelers found themselves stranded at immigration checkpoints by a policy that critics derided as un-American. The State Department said up to 60,000 foreigners’ visas were canceled in the days immediately after the ban was imposed.

The World Relief Corporation, one of the agencies that resettles refugees in the United States, called the ruling “fabulous news” for 275 newcomers who are scheduled to arrive in the next week, many of whom will be reunited with family.

“We have families that have been separated for years by terror, war and persecution,” said Scott Arbeiter, the president of the organization, which will arrange for housing and jobs for the refugees in cities including Seattle; Spokane, Wash.; and Sacramento.

“Some family members had already been vetted and cleared and were standing with tickets, and were then told they couldn’t travel,” Mr. Arbeiter said. “So the hope of reunification was crushed, and now they will be admitted.”