They have adapted so well to their new habitat that they now pose a serious threat to several species which they hunt as prey.
Scientists captured six of the pythons in the Everglades, placed them in sealed, plastic containers, and drove them to locations between 21 and 36 kilometres (13-22 miles) away.
They implanted radio trackers in the animals and followed their movements with GPS readings from a small fixed-wing plane -- measuring their direction and speed.
All the snakes immediately oriented themselves towards the place where they were captured, with five of the six returning to within five kilometres (three miles) of that spot.
The sixth veered somewhat off course as it was nearing its destination.The snakes travelled between 94 and 296 days, displaying "high motivation to reach home locations", according to the study, published in the Royal Society journal Biology Letters.
"This study provides evidence that Burmese pythons have navigational map and compass senses," the authors wrote.
No other snake species has yet been shown to possess a similar homing ability.
Such navigational skills suggest the python has a razor-sharp sense of territoriality. This could help combat the species in places where it is unwanted by predicting where the snake is likely to spread.
Burmese pythons eat everything from tiny birds to deer and even alligators. They swallow their food whole.