Kathy Levingston of Levingston Funeral Home in Groves, Texas, says Gonsoulin died Monday while in hospice care in nearby Beaumont. She did not have a cause of death but says Gonsoulin was battling prostate cancer.
He was a member of the first Broncos team, fielded in 1960. The team said on its website that he still holds the Broncos record for single-season interceptions with 11. He was a five-time Pro-Bowler. He also was named to the second-team AFL All-Time Team.
Gonsoulin was a standout at Baylor before being drafted in 1960.
Services for the native of Port Arthur, Texas, are scheduled for Saturday.