In an interview, Juliana Donald (Jenny) recalled how filming of the jogging scene in the park was temporarily delayed by a camera problem. In wide eyed amazement, a little boy passing by approached and started talking to Kermit the Frog, oblivious to Jim Henson operating him. Despite the surrounding commotion of technicians trying to fix the camera issue, Jim started interacting with the boy. Moments later, Jim found himself doing an impromptu performance with Kermit for an entire group of children who had gathered around to watch. Juliana said, "It was so memorable to me because time just stopped. It was a wonderfully magical moment where you experience someone's true joy with their work."
The scene of Miss Piggy singing "Saying Goodbye" with Kermit was filmed at the Lackawanna Rail Terminal in Hoboken, New Jersey. The train Piggy is on is an electric train designed and built by Thomas A. Edison.
Rizzo the Rat appeared throughout the final season of The Muppet Show (1976) and along with Scooter as the Happiness Hotel bellhops in The Great Muppet Caper (1981), but this is his first major role with The Muppets and his first appearance with his more "wiseguy" personality.
The scene where Kermit the Frog graduates from college was filmed at Vassar College in New York. Director Frank Oz wanted it shot in front of the most academic looking building on the campus: the dining hall.
The soundtrack to this movie is the only theatrical Muppet movie soundtrack to have never been available on CD. However, three songs from the film ("Together Again," "I'm Gonna Always Love You," and "He'll Make Me Happy") were released on the Muppets music collection "Music, Mayhem and More!".
Both the storybook and comic book adaptations of the film include scenes that weren't in the movie, indicating they were deleted from the film. Both scenes include a sequence where Steve Whitmire and Dave Goelz attempt to cure Kermit's amnesia, a scene where Dave Goelz tells Kermit that the wedding minister is a real one, and an allusion to Beauregard taking The Electric Mayhem to New York. The storybook also has a scene of Dr. Bunsen Honeydew performing a bizarre experiment on Animal.