The Ada County Coroner identified the suspected shooter as Jacob Bergquist, a 27-year-old Boise man. Coroner Dotti Owens said Bergquist's cause of death was still pending, but he died late Tuesday morning at a hospital.

The Boise Police Department first got the call that shots had been fired at the Boise Towne Square Mall at about 1.50pm on Monday, with callers describing a white man dressed in black, in possession of multiple guns.

In a prepared statement released on Tuesday afternoon, the police department said evidence shows the shooter was first contacted by a security guard who was shot and killed at the scene.

Police said the shooter then fired several rounds, shooting a glass escalator and a second victim who died of his injuries at a hospital.

The shooter then walked through the mall, firing rounds into the floor, which led to a 52-year-old woman and a 23-year-old woman being injured. Another man was injured when he fell while trying to escape the mall.

About three minutes after the initial report, responding officers saw the suspect running from mall area. They exchanged gunfire with the suspect outside a nearby business along a busy road, with the suspect shooting toward the road, according to the police department.

A 68-year-old woman who was in her car on the road was injured in the gunfight, according to police. An officer was also injured in the shootout, and was treated and released from the hospital.

Police found 18 spent shell casings inside the mall, and the investigation shows that the shooter had several guns and ammunition at the mall, the department said.

"We really cannot at this time speak to any motivation behind it," Lee said during a press conference Monday afternoon.

"I cannot stress enough how traumatic this event is for the community at large, as well as for those that were witnesses, or are the families of those involved or involved themselves."

Investigators were working to notify the family members of those injured and killed in the shooting, Lee said at the time.

Australian Associated Press