The suit filed Friday in Los Angeles Superior Court accuses Delaware-based Bauer Publishing Company LP and its affiliates of libel, slander and intentional infliction of emotional distress for the In Touch magazine article.
The suit also names 26-year-old Irma Nici, who is quoted as saying she was a call girl who slept with Beckham five times in 2007. She claims he also had sex with a second prostitute.
Beckham publicist Jeff Raymond says suits are being filed in other jurisdictions including Germany, where Bauer's parent corporation is located.
An e-mail to Bauer late Friday was not returned.