It happened at the location at Mayfair Street and Weymouth Street just after 8 a.m.
The female victim was identified by Durham police as 28-year-old Victoria St. Hillaire, an employee of UNC Family Medicine.
Lequintin Ford, 33, shot Hillaire then himself, investigators said Monday afternoon.
According to police, Ford and St. Hillaire had a prior dating relationship.
Investigators said St. Hillaire had a domestic violence protection order against Ford.
Officers roped off the area with crime scene tape and evacuated the 25-35 people who were inside the clinic at the time of the shooting.
ABC11 crews said the bodies of the victims were outside the building, but investigators would not confirm if the shooting happened inside or outside.
UNC Family Medicine said in a statement posted to Twitter that the Durham location will be closed for the remainder of the week.
"All of our staff and patients inside the building are safe. This was an isolated incident and there is no threat to the community," the statement said.
(1/2) Earlier this morning, a tragic shooting incident occurred in the parking lot outside our Family Medicine Center in Durham. All of our staff and patients inside the building are safe. This was an isolated incident and there is no threat to the community.— UNC Family Medicine (@uncfammed) November 25, 2019
(2/2) Our Durham location will remain closed for the rest of the week, and all patients who had appointments scheduled will be contacted regarding rescheduling. We thank the first responders and community for their support of our Durham staff during this time.— UNC Family Medicine (@uncfammed) November 25, 2019
"I heard like, four shots!" said Larry Johnson, an employee at a nearby car wash. "And where it happened is like, right next to us! You did hear a loud scream before the shots went off. And then, quietness."
Monday's shooting followed a violent 24 hours in the Bull City.
Sunday around 1 p.m. a man was shot and killed on Wabash Street in McDougald Terrace.
Then, Sunday night, two men were shot while sitting in a car in the area of Enterprise and South streets.
One of the men was later pronounced dead. The other was taken to the hospital with "serious injuries."