The 32-year-old, who took to the micro blogging site on Friday to deny she had ever been romantically involved with the sportsman, was subject to abuse from fellow users who threatened to kill her, reported Sun Online.
"Due to the serious nature of the threats, the tweets have been reported to the police," a spokesperson for the star said.
In her Twitter posts, Jenkins attempted to put a stop on speculations suggesting she had an affair with Beckham.
"Dear Twitter friends, I've read some horrible rumours on here & want u 2 (you to) know I absolutely deny I've had an affair with David Beckham. The rumours are very hurtful, untrue & my lawyers tell me actionable.
"I've only met David twice: once at the Military Awards in 2010 & on a night out in the West End in Feb 2012. We were out in a group of friends & it was just a normal fun evening out. Just so we are clear I've never been on my own with him and never arranged to meet up," she had said.