The death toll attributed to Florence stands at 32, with 24 of those being in North Carolina and at least six reported in South Carolina.
South Carolina Highway Patrol says a pickup truck was traveling west on Interstate 20 in Kershaw County on Sunday morning when it went off the roadway. Troopers said the truck struck an overpass support beam, and the driver died at the scene.
Kershaw County Coroner David West said the driver's name has not been released because all relatives have not yet been notified.
Heavy rain has fallen on portions of central and eastern South Carolina after former hurricane-turned-Tropical Depression Florence moved onshore.
As the death toll from Florence grew and hundreds of people were pulled from flooded homes, North Carolina braced for catastrophic, widespread river flooding.
Florence weakened to a tropical depression early Sunday after blowing ashore as a hurricane with 90 mph (145 kph) winds on Friday, Florence was still spinning slowly atop the Carolinas as it pulled warm water from the ocean and hurled it onshore.
The storm's death toll climbed to 14 when a man drowned after a pickup truck flipped into a drainage ditch along a flooded road in South Carolina. Earlier, authorities said two people died from inhaling carbon monoxide from a generator in their home.
Authorities said the storm did not cause some other deaths that occurred during Florence in North Carolina: a woman who died of undetermined causes in a shelter, a woman who suffered a heart attack at home during the storm, and a couple whose apparent murder-suicide was investigated during hurricane conditions in Otway.
The death toll attributed to Florence stands at 19, including 13 in North Carolina and six in South Carolina.
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AP writers Alex Derosier in Fayetteville, Jonathan Drew in Wilmington; Emery P. Dalesio in New Bern, North Carolina; Denise Lavoie and Sarah Rankin in Richmond, Virginia; Gary Robertson in Raleigh, North Carolina; Meg Kinnard in Columbia, South Carolina; Seth Borenstein and Michael Biesecker in Washington; Lolita C. Baldor at the Pentagon; Martha Waggoner in Raleigh, North Carolina; Jennifer Kay in Miami; Russ Bynum in Columbia, South Carolina; Pete Iacobelli in Clemson, South Carolina, and Jay Reeves in Atlanta contributed to this report.