Arizona State announced that the two schools would be playing at Sun Devil Stadium on Sept. 8, 2018, and at Spartan Stadium on Sept. 14, 2019.
"I am excited that we are able to announce the series with Michigan State University," Arizona State coach Todd Graham said in a statement. "Scheduling is very important to the overall success of a program and this is the type of matchup that we are seeking to fulfill our future dates. This series will help build our football program."
"That series is replacing originally scheduled Notre Dame games in those seasons," Michigan State athletic director Mark Hollis told the Detroit Free Press.
Arizona State had to move its 2018 game with San Diego State to Sept. 15 to accommodate the Spartans.
The two programs have met only twice in school history with a home-and-home series in 1985 and 1986. The Spartans won their home game in 1985 and the Sun Devils returned the favor as hosts in 1986.