Danish police have appealed for public help to track down a kangaroo that escaped from its owner's home in Copenhagen.

Two of the fleet-footed native Australian marsupials escaped from their owner's residence in the Copenhagen neighbourhood of Amager on Monday.

One found its own way home today but the second remains on the loose, police said.

'Passersby saw it and its owner, Jan Passer, is on his way to try to persuade it to return home,' a police officer said.

'He is very nice, according to his owner, and easy to cajole with just a carrot,' he added.