The brothers have said they killed their parents - Jose Menendez and Kitty Menendez - out of self-defense after enduring a lifetime of physical, emotional and sexual abuse from them. Prosecutors at the time contended there was no evidence of any molestation. They said the sons were after their parents' multimillion-dollar estate.
The case has gained new attention in recent weeks after Netflix began streaming the true-crime drama "Monsters: The Lyle and Erik Menendez Story."
Here is a look at the key events that have unfolded in the case.
Aug. 20, 1989 - Jose and Kitty Menendez were shot and killed in their Beverly Hills mansion.
March 8, 1990 - Lyle Menendez was arrested. Erik was in Israel for a tennis tournament and surrendered to Los Angeles police when he returned.
July 20, 1993 - The first trial against the brothers starts. It was a media field day when the trial began. The Menendez brothers emotionally described years of sexual abuse by their parents. They argued that they killed their parents in self-defense. The jury was deadlocked, and it ended in a mistrial.
Aug. 21, 1995 - The second trial begins.
March 20, 1996 - A jury in Los Angeles convicted Erik and Lyle Menendez of first-degree murder in the slayings of their parents.
July 2, 1996 - They were sentenced to life in prison without the possibility of parole.
2023 - The brothers filed a motion seeking a new hearing based on new evidence.
Oct. 3, 2024 - Gascón said attorneys in his office are reviewing the possibility the Menendez brothers could be entitled to have their case reheard or to be resentenced. A hearing was scheduled for next month.
City News Service and the Associated Press contributed to this report.