ITV said the actress, who was in the show for 42 years, passed away peacefully in a Manchester hospital, reported BBC online.
Her husband David Beckett and the programme's cast and crew were said to be "heartbroken and deeply saddened".
Co-star William Roache, who played her husband Ken Barlow for many years, said she would be "greatly missed".
"I feel Anne's loss so personally having worked closely with her for over 40 years. She was such a loving and vibrant person. You always knew she was there because her laugh was never far away.
The popularity of her character was demonstrated when a real-life campaign was launched to free Deirdre when a storyline saw the character jailed in 1998 after being duped into a mortgage fraud by fiance Jon Lindsay. The campaign was even backed by then Prime Minister Tony Blair.
