"Gerardo was a great man who always showed his love for our family. He was always there to help anyone in need and always made people laugh with his wonderful sense of humor," she said.
Hernandez was the first TSA official in the agency's 12-year history to be killed in the line of duty.
Authorities said 23-year-old Paul Ciancia walked into Terminal 3 on Friday, pulled an AR-15 semi-automatic rifle from his duffel bag and starting firing at TSA officers.
Hernandez, who had worked at LAX since 2010, was mortally wounded. His 40th birthday was next week.
Two other TSA officers were also hit. Both were treated at the hospital and released.
Airport officers worked hard to save Hernandez, giving him first aid before paramedics arrived and bringing him out in a wheelchair to the ambulance, LAX Police Chief Patrick Gannon said.
TSA Administrator John Pistole offered condolences to Hernandez's wife and children Saturday, spending about 30 minutes at the family's home. Pistole said the agency would review its policy on officer safety.
TSA officers are "the first line of defense" in airport security, he said, pledging that the agency would do everything possible to make sure Friday's tragedy was never repeated.
The 100-foot (30-meter) pylons that mark the symbolic gateway to the airport, the nation's third-busiest, were to be lit up blue in honor of Hernandez. Fellow TSA and law enforcement officers wore black mourning bands.
Friend and former TSA co-worker Kevin Maxwell said Hernandez was a family man.
"All he talked about was his family," Maxwell told KNBC-TV. "He was very proud of his son, who played football."
Neighbor Ken Wong told KCBS-TV: "Here's a man who was trying to serve his country, do his job well and support his family, and this is a senseless thing that happened."
- AP