Having recently completed one stage production in Los Angeles, Annette Bening has already set her next theatrical outing: a role in Shakespeare’s “King Lear” that New York’s Public Theater will produce this summer in Central Park. Bening will play the role of Goneril, one of Lear’s three daughters, in the Shakespearean tragedy. The production, directed by Daniel Sullivan, will star John Lithgow in the title role. The outdoor staging at the Delacorte Theatre is scheduled to run July 22 to Aug. 17 “King Lear” will also feature actresses Jessica Hecht as Regan and Jessica Collins as Cordelia.

Bening last appeared in a New York stage production of the play “Coastal Disturbances,” which had a Broadway run in 1988. The actress received a Tony Award nomination for her performance in the play. This summer’s Shakespeare in the Park lineup also includes “Much Ado About Nothing,” featuring Hamish Linklater and Lily Rabe. The comedy, directed by Jack O’Brien, is set to run June 3 to July 6 at the Delacorte. King Lear has not been performed at Shakespeare in the Park since 1973. Established by Joseph Papp, the founder of Manhattan’s Public theatre, the annual outdoor theatre season provides free productions of Shakespeare and other theatre classics, with more than 150 plays performed at Central Park’s Delacorte amphitheatre since 1962.