Their findings were presented on March 12 in The Astrophysical Journal.
The researchers believe this is the clearest case yet of a supermassive black hole on the move.
And this is no easy task, according to the study's lead author, Dominic Pesce.
He said: "We don't expect the majority of the supermassive black holes to be moving; they're usually content to just sit around.
A black hole in a distant galaxy is on the move, astronomers have found (Image: GETTY)
The black hole sits at the centre of the galaxy J0437 2456 (Image: Sloan Digital Sky Survey (SDSS))
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"They're just so heavy that it's tough to get them going.