Lau said the hospital's unarmed security guards tackled the Owens and pinned him down until police officers arrived.
"It was a phenomenal team effort during this tragic time," Lau said. "The training with the Parrish medical staff no doubt saved more lives."
Brevard County Sheriff Wayne Ivey called the shooting random because it doesn't appear the gunman knew either of his victims.
Owens' motive isn't known, but he acted alone, Lau said.
No one else was injured in the shooting.
Owens has been charged with two counts of murder. He is being held without bail at the Brevard County Jail.
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