She is probably best known to Australian audiences for her role in the cult comedy series Absolutely Fabulous, where she played Eddie Monsoon's mother.
When Whitfield was appointed with the honor of damehood at the age of 92, Charles, Prince of Wales told her this celebration had been "some time coming".
The London-born actress appeared on TV and radio for six decades and starred in more than 1300 radio and TV shows.
Dame June also appeared in numerous Radio 4 productions during her career, and played Agatha Christie's Miss Marple.
Later in her career, along with making regular appearances on radio comedy's for BBC Radio, she made a number of memorable appearances in British soap operas Coronation Street and EastEnders.
Comedian Julian Clary added he "adored" the star, who was made a dame in the 2017 Birthday Honours for her services to drama and entertainment.
Following the sad news of her death, a string of famous faces rushed to pay tribute. Always graceful & elegant with a real comic glint in her eye & (absolutely) fabulous timing'.
Shane Allen, controller of BBC Comedy, said: "June Whitfield was the North Star of British comedy".
Actress Julia Sawalha, who played Dame June's straight-laced granddaughter Saffy in Absolutely Fabulous, said: 'Thank you Dame June Whitfield, for teaching me my craft with such grace and dignity.
The national treasure had a career spanning seven decades.
Whitfield's big break came as a lead role in the radio comedy Take It From Here in 1953.
He wrote: "June Whitfield's incredible career in British comedy stretched all the way from "Hancock's Half Hour" to "Absolutely Fabulous".