Crews were called to the building on Bogarde Street at about 1:30 a.m. Tuesday. The top four units of the apartments were destroyed, while the bottom units have smoke and water damage.
Two firefighters were treated at Durham Regional Hospital for heat exhaustion.
On Sunday, six families were displaced during an overnight fire at a different building at the apartment complex.
Fire investigators said both fires started in an area under a stairwell and both fires are under investigation. The State Bureau of Investigation is looking into the fires.
People who live at the apartments said there is little doubt in their minds about what happened.
"It's just two fires in 46 hours. There's no coincidence there," resident David Eckard said. "I hurt and I want to cry and I'm extremely angry at the guy who did this, extremely angry."
The Red Cross is putting up Tuesday's fire victims at local hotels for the next three nights.
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