The 55-year-old singer allegedly was constantly on mobile during the screening of "12 Years a Slave" at the New York Film Festival.
CEO Tim League insisted he will enforce the ban on Madonna after she also reportedly blasted a fellow moviegoer who asked her to turn off her cell phone, reported Aceshowbiz.
League, the founder and CEO of the Texas-based theater chain, tweeted, "Until she apologises to movie fans, Madonna is banned from watching movies @drafthouse."
"Madonna, however entitled she feels she is, is unbearably rude to others around her by texting in a theater," in reply to a Twitter user who claimed League "is being a bit of sexist douche about this Madonna situation. Madonna isn't a teenybopper, she is a billion dollar business," he added.
Madonna has not responded to the ban or to the accusation that she lashed out at a fellow moviegoer who reminded her about the no texting policy in the theater chain.
An insider previously said when a woman tapped a blonde, who turned out to be Madonna, on the shoulder and told her to put her phone away, the blonde hissed back, "It's for business... Enslaver.