The Tigers will come to Syracuse on Sept. 26.
The second game of the series will be at LSU on Sept. 9, 2017.
The game will be the first regular-season contest between LSU and the Orange.
The teams have met in two bowl games, however.
SU beat the Tigers 23-10 in the 1989 Hall of Fame Bowl. LSU defeated SU 13-10 in the 1965 Sugar Bowl.
LSU last won the National Championship in 2008 when it defeated Ohio State 38-24.