The fire was reported shortly after 9:15 p.m. Sunday at a building in a wooded area on Drummondtown Road in Accomack County, The (Norfolk) Virginian-Pilot reported.
No injuries were reported.
The string of fires in abandoned buildings started in mid-November.
Police offered a $25,000 reward for information leading to an arrest and conviction in the arson cases.
Ohio crash that killed two caught on camera [VIDEO]
Wisconsin business offering 'therapeutic cuddling' forced to close