From November, foreign travellers will be allowed to fly into the US if they are fully vaccinated, and undergo testing and contact tracing.
The US has had tough restrictions on travel in place since early last year.
The move answers a major demand from European allies, and means that families and friends separated by the restrictions can be reunited.
White House Covid-19 coordinator Jeff Zients announced the new rules on Monday, saying: "This is based on individuals rather than a country-based approach, so it's a stronger system."
