The charges stem from an incident at the hospital where David Turner was taken after he was shot outside a Bakersfield convenience store Sunday.
According to hospital security, family members yelled at and threatened employees.
The Bakersfield Californian reports that 25-year-old Ahmod Turner and 24-year-old Whittney Turner pleaded not guilty Tuesday to threat and gang charges.
The shooting of Turner, who played for the Cincinnati Bengals from 1978 to 1980, remains under investigation.
Kern County sheriff's deputies were questioning Turner about reports of teens asking adults to buy them alcohol when a scuffle broke out. Turner allegedly struck a deputy with a bag carrying two beers, prompting another deputy to shoot.