After a week's delay, Orbital Science Corp.'s Cygnus cargo ship pulled up at the orbiting lab Sunday morning.
The space station astronauts used their robot arm to grab it.
The capsule is making its debut on this test flight, and contains more than a half-ton of food, clothes and other supplies for the six astronauts.
It marks a major accomplishment 260 miles up. Only one other private company has ever made such a high-flying shipment.
Orbital Sciences launched the Cygnus capsule from Virginia on Sept. 18. It was supposed to reach the space station four days later, but got held up by inaccurate navigation data.
A software patch fixed everything.