U.S. Attorney Jeffrey Taylor and city officials said Tuesday that Guandique killed 24-year old Levy on May 1, 2001, as she was walking her dog through Washington's Rock Creek Park.
Levy's remains were discovered in the park a year later.
Guandique is already serving a 10-year prison sentence in Adelanto, California for attacks on two women joggers at knifepoint in that same park around the time of Levy's disappearance.
In 2002, after Guandique's conviction, investigators questioned Guandique in the Levy case but did not charge him.
If convicted in Levy's murder, he could face up to 60 years in prison.
"It dawned on me that there's very little I can do or anyone else can do for the Levys other than to offer them justice," District of Columbia Police Chief Cathy Lanier said at a news conference.
"This has been a long time coming."
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