The bestselling author died peacefully at her home in Oxfordshire on Thursday, her daughters Antonia and Louise said.
Trollope was best known for her novels set in rural middle England and focused on domestic life and relationships, including The Rector's Wife, Marrying The Mistress, Other People’s Children and Second Honeymoon.
In a statement, Joanna Trollope's daughters Antonia and Louise said: "Our beloved and inspirational mother Joanna Trollope has died peacefully at her Oxfordshire home, on December 11 aged 82."
Her literary agent James Gill said: "It is with great sadness that we learn of the passing of Joanna Trollope, one of our most cherished, acclaimed and widely enjoyed novelists.
"Joanna will be mourned by her children, grandchildren, family, her countless friends and – of course – her readers."
Her writing was once dubbed Aga Sagas, a term which the author strongly disliked and described as "patronising".
She previously said: "That was a very unfortunate phrase, and I think it’s done me a lot of damage.
"It was so patronising to the readers too."
The English writer rose to fame following the release of her 1991 novel, The Rector’s Wife which was later adapted for TV starring Lindsay Duncan and Jonathan Coy.
With over 40 novels to her name, her work tackled a range of topics from affairs, blended families and adoption, to parenting and marital breakdown.
Her most recent novel, Mum & Dad, published in 2020, was about three siblings, and their partners and children, who come together at their parent’s home in Gibraltar after their father has a stroke, to work out how they are going to look after their mother and keep the father’s wine business going.
