They said: "Last week we had a very strange occurrence at the police station when a male wanted for an offence on our area was 'escorted' into our helpdesk at Trafalgar House by Batman.
"Batman came into the helpdesk, stated to the staff 'I've caught this one for you' and then promptly vanished into the night to fight crime and the fear of crime in Bradford.
"The whole bizarre incident was captured on CCTV."
The officers added: "This post is meant as a bit of a light-hearted news."
A later post from the officers in Buttershaw said "Inspector Alan Rhees-Cooper said that officers had made diligent inquiries in the local community to locate this individual.
"This often leads to members of the community assisting the police or to the individual themselves voluntarily attending the police station to speak to the police."
One of the Police Community Support Officers said in another post that they had been looking for the man but "Ultimately Batman beat us to the punch... Until next time, Batman, until next time!!!"
They also joked that Robin must have been outside keeping the Batmobile running.