Lyle and Erik Menendez admitted they killed their parents with a shotgun, but said they feared they were about to kill them due to details of their father's long-term molestation of Erik being made public.
Prosecutors said at the time there was no evidence of molestation, and many details in the brothers' story of sexual abuse were not permitted in the trial that led to their conviction in 1996.
A new trial for Lyle and Erik Menendez, after 35 years in prison for the shotgun murder of their parents, has been turned down by the Los Angeles County District Attorney.
He also said the brothers' own testimony of sexual abuse was untrustworthy because they had told five different explanations for why they committed the murder.
The family said new evidence should not be needed, as the justice system failed the brothers back then and "continues to fail them now".
