From the official travel.state.gov website:
The CDC order from December 2, 2021, requiring persons aged two and above to show a negative COVID-19 test result or documentation of recovery from COVID-19 before boarding a flight to the United States, is rescinded, effective June 12, 2022, at 12:01AM ET. This means that starting at 12:01AM ET on June 12, 2022, air passengers will not need to get tested and show a negative COVID-19 test result or show documentation of recovery from COVID-19 prior to boarding a flight to the United States regardless of vaccination status or citizenship.
Hallelujah! I expect a large jump in foreign travel now, because as we know from vivid personal experience, the threat of finding yourself stranded in a foreign country for an indeterminate period of time is a big deterrent to travel.
The news is not quite so good for tourist destinations in America, as the order is still in effect requiring foreign visitors to be vaccinated. We haven't quite caught up to countries like Switzerland, which officially states,
There are currently no entry restrictions due to the COVID-19 pandemic. No proof of vaccination, recovery or testing is required for entry into Switzerland.
But we have made a very good, if overdue, start.