Although he normally did not enjoy films which show children or infants in danger, Gene Siskel gave this movie a "thumbs up" while Roger Ebert disliked the movie, and told Siskel he should be ashamed of himself. Their sharp disagreement has since become a popular Internet video.
The film's budget was a whopping $50 million, which at the time was unheard of for a film that had no major leading stars in its cast.
Verne Troyer, who's uncredited in the film, played the stunt baby Bink for several major shots including the construction site. For other shots, a robotic stunt baby was used.
There was plans for a sequel called "Baby's Trip to China", which got cancelled.
In a 2009 essay, published after the death of John Hughes, Roger Ebert included this tidbit about a trip to India: "Once when I was visiting the largest movie theater in Calcutta, I asked if Star Wars: Épisode IV - Un nouvel espoir (1977) had been their most successful American film. No, I was told, it was Baby's Day Out, a Hughes comedy about a baby wandering through a big city, which played for more than a year." An Indian remake, Sisindri (1995) was released the following year. However Jurassic Park (1993) was the most successful American film in all of India back in 1994.