Harrison Ford damaged some ligaments in his leg during the filming of the scenes in the woods. He refused to take surgery until the end of filming so that his character would keep the limp. The limp can be seen in any subsequent scene where Richard Kimble is running.
The scene where Kimble is running through the St. Patrick's Day parade was not scripted. This was a later addition by Andrew Davis. Davis, a native of the city, really wanted to capture the parade and was granted permission from the mayor's office to film the day of the parade. The entire sequence was shot with a hand-held steady cam. Without rehearsal, Harrison Ford and Tommy Lee Jones just went out into the crowd and did their thing, with camera operators running around trying to keep up. Ford observed that since his character was keeping a low profile, it meant he himself didn't stand out much and lasted several minutes in the crowd before being recognized.
According to producer Roy Huggins, Gerard's line in response to Richard Kimble's claim of innocence ("I didn't kill my wife") was originally written as, "That isn't my problem." At the request of Tommy Lee Jones, it was changed to "I don't care." However, the line does appear in one of Walter Hill's unused early drafts of the script, where Kimble says, "You know I didn't do it," and Gerard replies, "I don't care. You're a fugitive."
Originally, Julianne Moore's character had a bigger role in the film, even after she exposes him briefly. Kimble was to have sought her out for help and eventually fall for her. These scenes were filmed and deleted from the final cut of the film. This is the reason that her name is still credited as one of the main stars of the picture.
Tommy Lee Jones reportedly told Joe Pantoliano, "It's not like anyone is going to win any awards for this film." However, the movie was eventually nominated for 7 Academy Awards and 3 Golden Globes, with Jones himself ironically winning both the Academy Award and Golden Globe for Best Actor in a Supporting Role for this film. Harrison Ford was nominated for a Golden Globe for Best Actor, but lost to Tom Hanks for his performance in Philadelphia (1993).