From 1994 to 2007, the British actress played the role of Alice Tinker in the BBC comedy The Vicar of Dibley.
The Doncaster-born star also appeared in the film Notting Hill, the sitcom How Do You Want Me? and the TV adaptation of Martin Chuzzlewit.
Well-wishers including Emma Freud, the wife of The Vicar Of Dibley's creator Richard Curtis, have paid tribute to Chambers on Twitter.
A statement from her agency said Emma died from natural causes and that she would be "greatly missed".
Dawn French said: 'Emma was a very bright spark and the most loyal & loving friend anyone could wish for.
Dawn, who worked alongside Emma for years on The Vicar Of Dibley, tweeted: "I was regularly humped like this by the unique & attractive spark that was Emma Chambers".
Hugh, who starred alongside Emma in Notting Hill, said this afternoon: "Emma Chambers was a hilarious and very warm person and of course a brilliant actress. She was the funniest, yet the sweetest".
Following news of Chambers' tragic passing, fans have taken to Twitter to pay tribute to the beloved star.
Julia Sawalha as Mercy Pecksniff and Emma Chambers as Charity Pecksniff in Martin Chuzzlewit
She wrote: "So sad to hear that Emma Chambers has passed away".
"Over the years, Emma created a wealth of characters and an vast body of work".
I was regularly humped like this by the unique & attractive spark that was Emma Chambers. I will miss her very much'.
"At this hard time we ask that the privacy of the family and loved ones be respected".
She wrote on Twitter: "I was regularly humped like this by the unique & lovely spark that was Emma Chambers. She was very amusing".
RIP the wonderful and talented Emma Chambers.
Alice Tinker (Emma Chambers), Vicar Geraldine (Dawn French) and David Horton (Gary Waldhom) in The Vicar of Dibley.More news: Newcastle boss Benitez explains substituting 2-goal Gayle