Reid (6-foot-2, 305 pounds) has helped Princeton to an 8-1 record and at least a share of the Ivy League title. If the Tigers win at Dartmouth on Saturday, they will win the championship outright.
The Senior Bowl annually gathers the nation's top senior NFL draft prospects in Mobile, Ala., in late January for an all-star game coached by NFL staffs. The 2014 game is scheduled for Jan. 25.
Reid has 3.5 sacks, seven tackles for loss, five quarterback hurries, an interception and a blocked kick this season. He has 37 tackles for loss and 17.5 sacks in his career and is a two-time All-Ivy League pick.
He will be just the second Princeton player to play in the Senior Bowl; offensive tackle Holland Donan played in the 1951 game.
Reid was a 240-pound defensive end in high school in the Bronx, N.Y. He received some recruiting from FBS schools, most notably Marshall, before signing with Princeton.
"His statistics don't reflect the impact he has had on our defense this season, but he has been a destructive force who has seen double and triple teams all year," Princeton coach Bob Surace said in a release on the school's website. "His leadership has been invaluable as well. He is the ultimate presence both on the field and in the locker room."
Reid is the second defensive tackle to accept a Senior Bowl invitation, joining Virginia's Brent Urban.