Wildlife officers had laid a trap in a waterway near where the "saltie" was reported to have been taking cattle at the station in the island continent's tropical north.
But they had to wait several days before it could be wrangled out of the enclosure earlier this week as it was too "angry", the NT News reported.
"Got a big one," an official exclaimed in a video posted on Facebook by the Northern Territory Police on Wednesday as he peered into a cage floating in the water where the croc was trapped.
"It was a bit of an unorthodox extraction from the cage due to the situation where it was in a waterhole with limited access," Remote Sergeant Mark Berry said.
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"He got a little bit away from us but we ended up getting hold of him. He's now been secured and will be taken into a breeding programme in Darwin.
A saltwater crocodile can grow up to seven metres long and weigh more than a tonne.