The sheriff's office tweeted that no bombs or explosives were found and they are now resuming regular operations.
The threat was received at 9:11 a.m. at the Downtown Superior Courthouse at 191 North First Street and the Old Courthouse at 161 North First Street, sheriff's officials said.
Deputies and K-9 units swept the courthouses and people are being asked to avoid the area of First Street and East James Street, sheriff's officials said as of 10:40 a.m.
ABC7 News contributed to this report.