Morgan, who was the 16th overall pick in this year's NFL draft, was charged with speeding and driving with a suspended license.
Gordon County, Ga., Sheriff Mitch Ralston said in a statement Friday that Morgan was traveling 91 mph in a 70-mph zone when stopped Wednesday in Resaca.
Morgan was jailed and released on a $2,108 bond.
According to The (Nashville) Tennessean, Morgan had been on his way back to Nashville for the Titans' minicamp.
Morgan, a defensive end, is from Atlanta and played for Georgia Tech. He has a July 26 court date.
A Titans representative said the team is aware of the traffic stop.
Morgan's agent, Ben Dogra, did not immediately return a telephone message seeking comment.
Information from The Associated Press was used in this report.