Los Teleñecos en Cuento de Navidad

Before production began, Sir Michael Caine told producer and director Brian Henson, "I'm going to play this movie like I'm working with the Royal Shakespeare Company. I will never wink, I will never do anything Muppety. I am going to play Scrooge as if it is an utterly dramatic role, and there are no puppets around me." Henson replied "Yes, bang on!"

When Scrooge is showing Dr. Honeydew and Beaker the door, it would appear Beaker flips off Scrooge and it somehow slipped past the censors, likely due to the fact that Beaker doesn't actually have fingers.

The closing credits include a credit for "Rizzo's personal caterer".

When originally showed in theaters, Belle's song "When Love Is Gone" was cut. Director Brian Henson protested this decision, but then head of Disney Jeffrey Katzenberg felt the song was too sad for a children's movie. The removal leaves the scene quite short and abrupt and damages the pacing. It was reinstated on all full screen home video copies of the film, including the laser disc (widescreen too), VHS home, and first DVD release, at the insistence of Brian Henson. For the Kermit's 50th Anniversary Edition DVD, the full screen version includes "When Love Is Gone" and the widescreen version cuts the song. The UK re-release from Park Circus in 2012 includes the song. Even though the version shown on Disney+ is the Theatrical Cut, the song is still included as an extra for the first time in High Definition. But in December of 2022, in celebration of the film's 30th anniversary, the song was once again placed back into the movie on Disney Plus under the heading "The Muppet Christmas Carol: Uncut Version."

Featured in What's Up Doc?: Episodio #1.14 (1992)