A second clip showed officers in the regional centres of Kalgoorlie-Boulder, Northam and Cue taking up the challenge in various locations.
“WA is often known as the ‘Wait Awhile’ State and this could be said for our #runningmanchallenge!! Apparently it was kind of a trend,” WA Police said on its Facebook page.
“Who knew our wide brown land plays hosts to so many coppers and community members who can move like Jagger?!!”
The video featuring regional police ends with a young male red kangaroo chasing an officer across an oval.
The orphaned joey was dubbed Cuejo by police in March after being rescued from the pouch of its mother, who had been hit and killed by a truck.
Cuejo later survived being abducted by a wedge-tailed eagle while in the yard at the remote Burringurrah Community Police Station.
The video and the joey’s cameo appearance was greeted with delight by Facebook users.
“Loving that the Goldfields guys got super-involved, and it’s definitely worth watching to the end. Cuejoe’s uniform is precious! Bravo!” Laura Newell wrote.
Cynthia Robinson said: “Sorry to say but I think the regional WA has done it better lol.”
Other Facebook users praised the officers for their effort, if not their ability.
“WA may not have the best dancing skills but 100 per cent for enthusiasm!” Rebecca Kate said.
The two videos have been viewed more than 200,000 times in under three hours.
Police said officers who took part had volunteered their own time.
The dance challenge was sparked last week when NZ police posted a clip of eight officers performing the Running Man on Facebook.