It has a 15 rating for very strong language, strong violence, threat, sex, and drug misuse.
A 13-year-old girl was among six teenagers arrested over the brawl at the Star City complex in Birmingham on Saturday afternoon local time, Birmingham police said.
Vue Cinemas and Showcase said Blue Story will no longer be showing in their United Kingdom and Irish outlets following scenes at Star City in Birmingham on Saturday.
The spokeswoman said: "While we are disappointed that these are the actions we have had to take, we hope it is understandable that we can not, and will not, take any risks with regard to the welfare and safety of our staff and our customers".
Showcase Cinemas has also withdrawn the film, while Odeon is now reviewing the situation. A boy aged 14 was held on suspicion of obstructing police.
Vue and Showcase Cinemas are refusing to show the film.
Baby Yoda Merchandise Will Debut Soon
Hasbro obtained an exclusive license from Disney to market Stars Wars , Marvel, and Frozen merchandise. The release of the new Disney merchandise, including Baby Yoda merch , could boost sales this season.
The film's director, Andrew Onwubolu, said it was "truly unfortunate that a small group of people can ruin things for everybody".
"I'd ask anyone with images or video who has not yet got in touch already to do so that we can make further arrests".
However, given the content of the film it is not hard to see how correlations were drawn, whether correct or incorrect, between the violence at the theater and Blue Story and why the decision was made to pull the film.
The officers who were hurt had suffered minor facial injuries, Supt Green said.
Councillor Steve Pitt, deputy leader of Portsmouth City Council, has hit out over the decision by cinema chain, Vue to withdraw showings of Blue Story in all its 91 outlets - including the one at Gunwharf Quays.
"We feel that this is an important film, which we've seen play in more than 300 cinemas across the country, with incredibly positive reactions and fantastic reviews".
According to the authorities five teenagers have been arrested on suspicion of assaulting the police.
"We worked quickly to move the crowds on but were met with a very hostile response and officers had to draw Tasers to restore order.' He added that officers" injuries were "minor".