Jennifer Lawrence and Jessica Chastain. (WENN.com)

Jessica Chastain has hit back at speculation she is at war with fellow Oscar contender Jennifer Lawrence, insisting she's fed up with gossip about female stars fighting in Hollywood.

Both stars are up for Best Actress in a Leading Role at the 2013 Academy Awards, with Chastain nominated for Zero Dark Thirty and Lawrence for Silver Linings Playbook.

Rumours have spread suggesting the red-headed beauty has a vendetta against her younger rival after Lawrence cracked a joke about her while hosting Saturday Night Live last month.

Now Chastain has addressed the reports, insisting she is a huge fan of Lawrence's work.

Taking to her Facebook.com page, she writes, "I find it very sad that media makes up bogus stories about women fighting in this industry. Filming The Help was the most amazing experience and yet, that is the film I'm most asked about in regards to 'fighting on set'. Why do we support the myth that women are competitive and cannot get along?

"I think all of the actresses recognized this year have given incredible performances. But more important, they've all shown themselves to be filled with generosity and kindness. I've done two photo shoots with Jennifer Lawrence over the years and have found her to be utterly charming and a great talent. I've told her how beautiful her film work is. Please don't allow the media to perpetuate the myth that women aren't supportive of each other. Every time an actress is celebrated for her great work, I cheer. For the more brilliant their performance, the more the audience demands stories about women. With support and encouragement, we help to inspire this industry to create opportunities for women. And as we all know: a great year for women in film, is just a great year for film."