Giffords's statement refers to 2,700 pages of documents the Pima County, Ariz. Sheriff's Department released on Wednesday. Giffords was the target of the shooting rampage and suffered a gunshot wound to the head. The shooting resulted in six dead and 13 injured, including Giffords.

The documents reportedly show Loughner did not have trouble getting a gun, but had more difficulty obtaining ammunition. The documents also suggest that Loughner never pursued mental health treatment prior to the shooting, even after Pima Community College recommended that he get help.

"The details released today regarding the shooting in Tucson reaffirm what this country already knew:  The mentally disturbed young man who shot me and murdered six should never have had access to a gun," Giffords said in the statement.

Since the shooting, Giffords and her husband, Mark Kelly, have called for Congress to pass new gun enforcement measures. Giffords and Kelly run Americans for Responsible Solutions, a group that advocates stronger laws. In her statement, Giffords reiterated her push for Congress to pass universal background checks.

"No one piece of legislation will end all gun violence, just like no one piece of legislation would have prevented the Tucson shooting," Giffords continued in her statement. "However, I hope that commonsense policies like universal background checks become part of our history, just like the Tucson shootings are — our communities will be safer because of it.

"There isn't a day that goes by that I don't think of all who were at the Congress on Your Corner event with me, and all who were affected by the shooting, and give thanks for the bravery of all the first responders who tried to limit the carnage and protect human life that day."