She played many classics from the Swedish master, including "The Seventh Seal" (1957), "Wild Strawberries" (1957) and "Persona" (1966).
She began to work with him at the age of 15, when a few advertisements were introduced for a Swedish soapmarm "Bris" that he realized.
Bibi Andersson received many awards including the best actress Silver Bear at the Berlin Film Festival for her role in a Swedish director Vigot Sjoman's "The Mistress".
She remained filming until 2009, before being a victim of a stroke that lost one side of her body.
"She wears a great low-fatness for all those who have the privilege to live with him," said his daughter to AFP.
For Jan Holmberg, chairman of the Ingmar Bergman Foundation, Bibi Andersson has not always found roles to adapt. But "they took it and made it a lot bigger," he told AFP.
The media, and Bergman himself, often talk about comedy about his films as "his" actors. One day Bibi Andersson said: "I am only for myself," says Holmberg. "And it was already her."