"Cygnus has arrived at the station."
Following the capture, the spaceship will slowly be brought closer to the ISS to be bolted securely on in the coming hours.
The spaceship launched Sunday from Cape Canaveral Florida atop an Atlas V rocket built by United Launch Alliance.
Orbital has not sent a cargo spaceship to orbit since October 2014, when its Antares rocket exploded shortly after liftoff due to a problem with its Ukrainian-made engine.
Both Orbital ATK and SpaceX have billion-dollar contracts with NASA to supply the ISS over a series of cargo missions with their Cygnus and Dragon spaceships.
Astronauts plan to dive into the contents of the Cygnus and begin unpacking it early Thursday, NASA said.
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