The movie, shrouded in secrecy, stars Natalie Portman, Christian Bale and Cate Blanchett, and has is likely to be one of the biggest draws of the competition.
Malick, famous for Badlands and The Tree of Life, is known for his reclusiveness and absolute secrecy on set.
Little is known about Knight of Cups beyond that it was filmed in 2011 and has been in post-production since 2013 - making the premiere the likely hot ticket of the Berlinale, which runs from February 5th-15th 2015.
According to the Hollywood Reporter, Knight of Cups is about "temptations, celebrity and excess" in modern-day Hollywood, with Bale possibly playing - or possibly not - a depressed screenwriter.
Other films announced on Monday include Kenneth Branagh's live action version of Cinderalla, also starring Blanchett, and world premieres of Peter Greenaway's new film, Eisenstein in Guanajuato, and Andrew Haigh's 45 years, starring Charlotte Rampling and Tom Courtenay.
The jury president will be US director Darren Aronofsky, who made Black Swan, The Wrestler and Requiem for a Dream.
Other films competing for the Silver Bear will be announced in due course. The festival is widely regarded as one of the top three cinema showcases, after Cannes and Venice - attracting A-list Hollywood stars despite the freezing temperatures and, often, deep snow of Berlin in mid- February.