Daniel Peter Mohar, 34, turned himself in Tuesday morning, Durham officials said.
Mohar and Tivnan were on the patio at Social Games and Brews at 1007 W. Main St. around 10:15 p.m. on June 5 when an altercation occurred, Durham Police said Friday.
During the fight, Mohar allegedly struck Tivnan, causing him to fall and hit his head on the pavement, police said.
Tivnan was found unconscious on the sidewalk and was taken to the hospital, where he died two days later.
It appears to have been an isolated incident, according to investigators.