Former Gov. Arnold Schwarzenegger rejected a previous parole for Davis in 2010.
Brown made his decision on the matter after meeting with Los Angeles District Attorney Jackie Lacey.
'A Danger to Society'
"Until Davis can acknowledge and explain why he actively championed the Family's interests, and shed more light on the nature of his involvement, I am not prepared to release him," Brown wrote in his decision.
"I find the evidence ... shows why he currently poses a danger to society if released from prison. Therefore, I reverse the decision to parole Mr. Davis," Brown wrote.
Davis, Charles Manson and Steve Grogan were convicted of the 1969 murders of musician Gary Hinman and stuntman Donald "Shorty" Shea. Grogan became the only member of the Manson Family convicted of murder who was granted parole when he led police to the location of Shea's body in 1985.
Twice Granted Parole
Twice now, the full California board of paroles has approved release for Davis because of his exemplary prison record. He became a born-again Christian in prison shortly after he was incarcerated at age 30. He ministers to other inmates and has earned a master's degree and a doctorate in philosophy of religion.
Davis, 70, married a woman he met through a prison ministry and has a grown daughter.
He will remain in prison along with Manson, Leslie Van Houten, Patricia Krenwinkel and Charles "Tex" Watson, who were convicted in the infamous Tate-LiBianca murders, in which Davis had no involvement. Susan Atkins, who was also convicted of those murders, died in prison of cancer in 2009.
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