Jose Emanuel Raselbach, 34, was arrested on July 8 after authorities say he attacked his father, mother and sister with a knife.
His father, Abraham Raselbach, 66, was pronounced dead at the scene.
West Hollywood stabbing: Man killed, 2 others injured
At the time of the attack, sheriff's deputies said the suspect's mother suffered superficial wounds while his sister was more seriously wounded and hospitalized.
A statement from the Los Angeles County District Attorney's Office said Raselbach was being charged with one count of murder, one count of attempted murder and a count of assault with a deadly weapon. The statement references charges in relation to only one other victim besides his father.
The DA's office says Raselbach has a prior conviction for assault with a deadly weapon in 2011.
He now faces a possible sentence of 45 years to life in prison if convicted on all counts.
He is being held on $3 million bail.