Ken Tsang was doubled by director Stanley Tong himself for the helicopter stunt towards the finale. As a result, Tong broke his shin and can be seen sporting crutches and a cast during the film's outtakes/credits.
The only Police Story film in the original quadrilogy that never received an American release by New Line Cinema. The first two films, as well as First Strike (the fourth film), were all released by New Line, while Supercop's initial release was by Dimension films.
The first Hong Kong action film to use synchronized sound. However, on the 2009 region-1 DVD released by Dragon Dynasty/The Weinstein Company, when Jackie Chan discusses this in an interview, the subtitles transcribe the audio incorrectly.
Quentin Tarantino stated in an interview that if the Earth were going to be destroyed, and he could launch one piece of film into space to preserve it for aliens, it would be the finale action scene of this movie.
The film inspired two missions in the 2004 game Grand Theft Auto: San Andreas. Both of were taken from the final scenes. The game's last mission, "End of The Line" where CJ must chase a firetruck with a red open-top car and catch Big Smoke was taken from the scene where Jackie must chase a van using a red open-top car to catch Jessica Yang (Michelle Yeoh).
At a few points in the movie, most notably during the helicopter chase finale, parts of Danny Elfman's score for "Batman" appear on the Supercop soundtrack. Coincidentally, both films feature a finale involving a helicopter and rope ladder.
The Police Story series was initially born out of spite from Jackie Chan's displeasure at how his second American film, The Protector, turned out. Ironically, it was in that latter film that Jackie's character, Billy Wong, was referred to as "Supercop" by his superior. This in turn ended up being the subtitle (and in the case of the US release, the main title) of this film.