West Yorkshire Police said they do not know the identity of the man who took the 27-year-old into Trafalgar House police station in Bradford.
The wanted man had been sought by police in connection with a number of alleged offences.
A member of the public dressed in a full Batman outfit took him into the station in the early hours of February 25.
A spokesman said: “The person who brought the wanted man into the station was dressed in a full Batman outfit.
“His identity, however, remains unknown.”
The arrested man was later charged with handling stolen goods and fraud related offences and will appear before magistrates on Friday.