The women got into a heated argument near a stairwell outside building M-30 in Garret Square Apartments, 4320 Garret Road, at 5:18 a.m., said Lt. L. Williams, the Durham Police watch commander. One woman then stabbed the other.
The victim, a 31-year-old woman, was taken to Duke University Medical Center with non-life-threatening injuries.
Williams said that the woman responsible for the stabbing was on the run and that officers were searching for her Sunday morning. She was described as a black woman standing 5 feet 2 inches tall and weighing 150 pounds.
Police said they plan to charge the victim's attacker with aggravated assault.
The two women live near each other, Williams said. Garret Square is off U.S. Highway 15-501 in southwestern Durham.
Police declined to release more information, including the identities of the victim and suspect, as the investigation was ongoing.
Anyone with information about the stabbing should call Investigator T. Tucker at 919-560-4440, ext. 278 or Crime Stoppers at 919-683-1200. Callers to Crime Stoppers never have to identify themselves.