The film has earned over $42m (£31m) globally in its first two weeks and achieved a 91 per cent score on Rotten Tomatoes, the highest for the franchise.
Despite the film's success, Neeson, who portrays Frank Drebin Jr., expressed doubt about a sequel, suggesting it is likely a one-off.
The movie also features Pamela Anderson, Kevin Durand, and Paul Walter Hauser, and was directed by Akiva Schaffer with Seth MacFarlane as producer.
The Independent's review notes that the film subtly shifts its parody from self-serious cop shows to the self-seriousness of police officers in a contemporary context.