Quran, 33, entered his plea during the evidentiary hearing in his case, held at the Jerusalem District Court. He also pled guilty to involvement in various other terror activities.
During the hearing Quran said he was instructed by Popular Front for the Liberation of Palestine (PFLP) member Majdi Rimawi to murder Ze'evi in the beginning of 2001.
On the day of the murder, Quran recounted, after spotting Ze'evi at around 6:50 am in the hotel's dining room, he and fellow PFPL member Basel al-Asmar took their positions near the elevator on the 8th floor, where Ze'evi's room was located.
As Ze'evi stepped out of the elevator and began making his way toward the room, the two shot him three times in the head and fled the scene.
The minister was rushed to Hadassah Ein Kerem hospital, where he died of his wounds a short while later.
After the murder, Quran escaped to Palestinian Authority territory, where he was arrested and imprisoned in a jail in Jericho for the murder.
Last year, Israel decided to capture Quran and other terrorists involved in the killing due to the PA's violation of agreements concerning their imprisonment.