More than 2,700 pages of records, released by the Pima County (Ariz.) Sheriff's Office, are expected to shed new light on the 2011 incident which left U.S. District Judge John Roll and five others dead, The Arizona Republic reported Wednesday.
Loughner pleaded guilty to the shootings in 2012 and has been sentenced to seven life terms plus 140 years in prison.
Giffords, a Democrat, has since retired as a member of Congress from Arizona.
Sheriff's officials, who investigated the shootings with the FBI, withheld the crime reports for two years under a federal court order, with U.S. District Judge Larry Burns deciding the release of the documents could jeopardize the defendant's right to a fair trial.
Burns recently lifted his seal of the information at the request of news media, leading to the release of the documents and closing a two-year legal battle with the media, the newspaper said.