The Aggies will host the Tigers on Sept. 8, 2018, before traveling to Death Valley on Sept. 7, 2019.
"We are excited to play the Clemson Tigers, who have been on Texas A&M's non-conference schedule previously," Texas A&M athletic director Eric Hyman said in a statement. "As a fellow land-grant institution, Clemson is very similar to Texas A&M with a great football tradition and passionate fans. This will be a great non-conference series for both schools."
The Aggies hold the all-time series lead 3-1, with the Tigers winning the most recent meeting 25-24 in 2005.
"We are looking forward to playing Texas A&M as the two schools share a rich military heritage and of course passionate fan bases," Clemson athletic director Dan Radakovich said in a statement. "We know our fans make Clemson a great game day experience and the Aggie fans make Kyle Field also one of the great venues in all of college football."
Clemson had already announced earlier this year that it would face Auburn in 2016 and 2017. Clemson also faces in-state rival South Carolina annually, and the ACC announced this week that the Tigers would face Notre Dame in 2020, 2022 and 2023. (The two already had been scheduled to meet in 2015 as well.)
Fox Sports reported earlier Thursday that Texas A&M had opted out of a home-and-home with Oregon that was scheduled for 2018 and 2019, with Hyman exercising a clause from the series' 2009 contract that said the Aggies could get out of the deal if they changed conferences. Texas A&M left the Big 12 for the SEC in 2012.
The Aggies also have a future home-and-home scheduled with UCLA (2016-17) and will play Arizona State in the 2015 AdvoCare Texas Kickoff in Houston.