"He made it -- tears of joy from Mission Control," his support team said in a live feed.
Rising in a capsule attached to a huge helium balloon, Baumgartner got to 24 miles up then jumped, thereby setting the record for both the highest balloon ride and the highest jump ever.
According to Brian Utley, an official observer on the site, the Austrian man dubbed "Fearless Felix" at one point fell as fast as Mach 1.24, well above the speed of sound, with nothing but a space suit, helmet and parachute, his support team said.
Mission Control, though, said during the jump that the skydiver did not "break the record for time elapsed" before pulling the parachute.
Tom’s Take: This was quite the media event Sunday with Twitter, Facebook and other social media outlets buzzing on the internet. How did your station tie-in? And how will the stunt intern on your morning show top it?