The two teams, which will be meeting for the first time since 1991, will play on Sept. 4, 2022, at the Mercedes-Benz Superdome in New Orleans and on Sept. 3, 2023, at Camping World Stadium in Orlando, Florida.
"I'm excited about this series," new Florida State coach Mike Norvell said Tuesday. "This series matches two of the iconic brands in college football, and I know our fans will have a great time in New Orleans and Orlando."
LSU is coming off a College Football Playoff National Championship in New Orleans last month.
"To play a traditional power like Florida State is a challenge that excites our team," LSU coach Ed Orgeron said. "We look forward to playing anyone, anywhere at any time."
The series adds another big-name opponent for LSU, which is playing Texas this season in Baton Rouge, Louisiana; Clemson in 2025-26; and Oklahoma in 2027-28. Florida State, meanwhile, has its annual nonconference rivalry game with Florida but also opens the 2021 season at home against Notre Dame.