The campaign, created by PlayStation's PR agency The Romans, included training conducted by experts at virtual-to-real racing body GT Academy, with police officers clocking laps at Silverstone race track.
Following an initial lap, the officers were coached using the game in an effort to improve their driving ability. Areas for improvement such as carrying too much speed in corners were identified, with GT Sport used to demonstrate correct techniques and best practice to keep the car safe, the agency said.
Shaun West, assistant chief constable at Lincolnshire Police, said: "There will never be a replacement for traditional training methods, but we are always looking for innovative ways to supplement the learning of our officers and staff.
"If Gran Turismo can help to train world-class racing drivers, then we were keen to explore whether it could offer anything to our officers and help expand the way we think about evolving and refreshing our training methods."
As a result of the training, every officer showed an improvement in their driving ability, including in areas such as safety, stability, braking and steering, The Romans said.
The Romans, launched by Joe Sinclair and Misha Dhanak in 2015, has clients including Twitter and Diageo on its roster. It began work with PlayStation earlier this year.