It happened in Morley on Friday, April 12 as officers were collecting evidence from a crime scene.
The sign, which said disabled parking only, was stuck onto the windscreen of the car.
It also branded the police officers stupid in a scathing comment.
It read: "Stupidity is not considered to be a handicap.
"Park somewhere else."
West Yorkshire Police PCSO Michelle Owens, who patrols the Morley South Ward, tweeted about the incident, calling it "completely unacceptable."
PCSO Owens said: "I’ve just been informed that yesterday Whist a crime scene investigator was at a premises in Morley collecting evidence from a burglary, a member of the public has stuck this to their vehicle.
"Completely unacceptable when we are trying to do our job!"