The post issued a statement Sunday night saying those entering the fort Monday would face heightened security.
There were long lines of backed-up traffic as random checks were conducted at all main gates.
"It's going to continue until further notice," spokesman Buz Yarnell said.
Security precautions were unchanged Monday at Savannah River Site, where closely-guarded stockpiles of sensitive nuclear weapons and other nuclear material are kept.
A U.S. Energy Department site spokeswoman said they were prepared to act if instructed to make any changes.
Plant Vogtle and other nuclear sites operated by Southern Nuclear were also not asked to increase security Monday, said company spokeswoman Alyson Fuqua.
"Nothing has been increased at this time, but there are a lot of additional measures that were taken after Sept. 11, and those are still in effect," she said.
At the Richmond County courthouse on opening day, bailiffs could be seen in the in the halls and standing by metal detectors at the doors.
Sgt. Kenny Holden, chief bailiff, said no extra security was added.
Staff Writers Rob Pavey and Kyle Martin contributed to this article.