Martin, 6-foot-3 and 320 pounds, was chosen with the 70th overall pick Friday night.
Martin, who played at Crenshaw High, started at guard as a USC freshman and sophomore and moved to center for his junior season.
He opted to forego his final season of college eligibility.
Martin was the second center drafted. The New York Giants selected Colorado State’s Weston Richburg in the second round with the 43rd pick.
“Everybody’s excited,” Martin told the NFL Network. “I’m just blessed for this opportunity.”
Martin suffered knee and ankle injuries in the Trojans’ loss to UCLA in the 2013 regular-season finale. He was sidelined for the Las Vegas Bowl and did not participate in physical tests at the NFL scouting combine.
But he did participate in USC’s pro day workout.