The actress's agent confirmed the news of her passing today.
Her agent said: "She will be remembered as a loving wife and mother, a cherished grandmother, a generous colleague and, always, a consummate professional. She will be greatly missed."
Massey featured in a number of TV and film roles, including Alfred Hitchcock's 1972 film Frenzy, a 1986 TV adaptation of Hotel du Lac and Possession with Gwyneth Paltrow.
She also appeared in Michael Powell's controversial 1960 movie Peeping Tom, Oliver Parker's 2002 take on The Importance of Being Earnest and the 2008 BBC adaptation of Tess of the D'Urbervilles.
Last November, Massey starred in 'Sauce for the Goose', the opening episode of the second series of Jimmy McGovern's Moving On dramas.
Massey was given a CBE in 2004 for her services to acting.
Watch the trailer for Alfred Hitchcock's 1972 film Frenzy below: