Andy Craven opened the scoring for the Tar Heels in the 38th minute with his fourth goal of the 2012 campaign.
Freshman Nico Melo created the Tar Heel opportunity when he cut in on his defender and fired a shot on target. Georgia Southern's goalkeeper Neal Bates was able to get in front of the Melo shot but was unable to hang on to the rebound.
Craven came charging in from the right wing and slotted the ball past Bates to give Carolina a 1-0 advantage.
Just over two minutes later the Tar Heels would double their lead on Cooper Vandermaas-Peeler's first career goal.
Senior midfielder Martin Murphy found the ball at his feet near the top of the box and deftly chipped the ball over the Georgia Southern defense to Vandermaas-Peeler.
The sophomore settled the ball and spun on a pair of Eagles defender nearly touching the ball too far. Bates came charging from his post and nearly grabbed the ball before Vandermaas-Peeler chipped it over him and into the back of the net.
The Tar Heels would enter halftime with the two goal lead and not look back the rest of the evening.
Carolina peppered the Georgia Southern goal in the first half racking up 11 shots, including eight on frame, while limiting the Eagles to just one opportunity as the possession-minded Tar Heels controlled the tempo.
The story would remain the same in the second half as Carolina outshot the Eagles by a 5-1 margin and kept the pressure on the Eagles backline.
Scott Goodwin was rarely tested on the night as his backline did not allow a shot on goal en route to Carolina's seventh shuotout in 2012.
Carolina has now won five straight matches and is unbeaten its last six times out. The Tar Heels will look to keep the streak alive on Friday when they travel to South Carolina to take on Clemson at 7 p.m. The match will be carried on ESPN3.