Alayburgh's stage, film and TV career stretched for decades.
She was nominated for two Academy Awards for her work in "An Unmarried Woman" and "Starting Over."
She also earned two Emmy nods: for best actress in 1975 for her role in the ABC TV film "Hustling" and for her guest appearance in 2005 on FX's "Nip/Tuck."
The multi-talented actress also starred in several Broadway hits like "The Rothschilds" and "Pippin."
Clayburgh will next be seen playing the mother of Jake Gyllenhaal's character in the upcoming film "Love and Other Drugs."
She is survived by her playwright husband, David Rabe, and their three children, including actress Lily Rabe, Michael Rabe and stepson Jason Rabe.
Clayburgh's husband said there will be no funeral. The family will have a memorial in about six months, though plans have not been finalized.
The Associated Press contributed to this report.