According to his family's lawyer, 40-year-old Shon McClain, of Apex, was taken off life support at WakeMed on Monday.
Doctors had been assessing his brain activity following an alleged fight between a detention officer and McClain on June 4.
The Wake County Sheriff's Office runs the detention center and said both men were injured in the altercation.
Further details surrounding the incident have not been released.
The officer, who has been identified as Markeith Council, is on paid administrative duty pending a review by the State Bureau of Investigation.