"I'm happy to report that the Near spacecraft has touched down on the surface of Eros," said mission controller Dr Robert Farquhar, in an update from the project's headquarters.
"This is the first time that any spacecraft has landed on a small body," he added.
The Near- (Near Earth Asteroid Rendezvous) Shoemaker probe sent close-range pictures showing detail on the surface of the asteroid before it hit the surface.
Faster, better, cheaper
Scientists at the Johns Hopkins University Applied Physics Laboratory were delighted by the quality of the images, describing them as "unbelievable".
The landing ends a five-year journey by the craft, one of the first of Nasa's "faster, better, cheaper" missions.
The Near mission has been a great success and the data sent back from the landing are seen by Nasa scientists as "bonus science".
Images from the spacecraft were broadcast live on the internet.
During its year-long orbit of the asteroid, Near transmitted some 160,000 images of the rocky surface.
Asteroids, material left over from the formation of the Solar System, are rocky and metallic objects that orbit the Sun but are too small to be considered planets.
Because asteroids are material from the very early Solar System, scientists are interested in their composition.