"I think I saw in some of the newspapers, they used the term Sputnik moment," he added. "I don't know if it's quite a Sputnik moment, but I think it's very close to that. So it's a very significant technological event that occurred, or test that occurred, by the Chinese. And it has all of our attention."
The launch of a Sputnik satellite by the Soviet Union in 1957 stunned the world and fed US fears that it was falling behind technologically in an accelerating arms race in the early stages of the nuclear age.
China has disputed Western news reports about its test, saying it was working on technology for a re-useable space vehicle for peaceful purposes.
Asked about Milley's remarks, White House press secretary Jen Psaki said he was conveying concern about China's military modernisation.
"They continue to pursue capabilities that increase tensions in the region," she said. "And we continue to have concerns about that. And I think that was reflected in his comments."
Pentagon press secretary John Kirby declined to comment on the test or on Milley's remarks beyond saying that China's work on advanced hypersonic weaponry is among a "suite of issues" that cause the Biden administration to be concerned by "the trajectory of where things are going in the Indo-Pacific."
Asked about progress on US hypersonic weapon technologies, Kirby said it "is real, it's tangible, and we are absolutely working toward being able to develop that capability". He declined to provide specifics.
Some US defence experts say the worry about China's work on a hypersonic weapon that could deliver a nuclear weapon from space are overblown.
James Acton of the Carnegie Endowment for International Peace wrote in an essay last week that the United States has long been vulnerable to a Chinese nuclear attack.
"While the prospect of a nuclear attack against the United States is terrifying, this is no Sputnik moment — partly because it's not entirely clear what was tested, but mostly because the threat of a Chinese nuclear attack on the United States isn't remotely new," Acton wrote.
In addition to its advances in hypersonic weapons, China has been expanding its network of underground silos that could be used to launch intercontinental-range nuclear missiles, and it has rebuffed US calls to join nuclear arms control talks. The US also has raised concerns about what it calls Chinese efforts to intimidate Taiwan, the self-ruled island that China claims as part of its territory, and to claim disputed islands and other land features in the South China Sea.
Associated Press writers Lolita C. Baldor and Alexandra Jaffe contributed to this report.