The awards were announced Wednesday and will be presented Thursday night as part of the College Football Awards Show at the College Football Hall of Fame. ESPN will broadcast the awards show at 7 p.m. ET.
Swinney led the Tigers (13-0) to an undefeated regular season, Atlantic Coast Conference championship and No. 1 seed in the College Football Playoff. Clemson will play No. 4 Oklahoma in the Orange Bowl on Dec. 31.
Swinney's Tigers have won 16 straight games, the nation's longest active streak.
Henry led all Southeastern Conference tight ends with 46 receptions for 647 yards. He hasn't dropped a pass this season.