The official was not authorized to speak to reporters about the investigation and spoke only on condition of anonymity.
Authorities say a 20-year-old man opened fire Friday inside the school in Newtown, massacring 26 people, including 20 children, then killed himself. He was carrying at least two handguns.
Other law enforcement officials also speaking on condition of anonymity have said the gunman apparently left a high-powered rifle in the back of a car he drove to school.