Bradford, a quarterback, was picked up by the St. Louis Rams just after the draft began at 6:30 p.m.
Bradford played for OU from 2007-09 and threw for more than 4,700 yards in his Heisman winning season. He was injured in 2009 and threw for only 562 yards in two games.
Though Bradford said he hadn't had any discussions with the Rams prior to his selection, Rams general manager Billy Devaney told the NFL Network’s Fran Charles earlier in the day that the front office was unanimous on who the team will take with the No. 1 overall pick.
The No. 2 pick, taken by the Detroit Lions, was Ndamukong Suh, a DT out of Nebraska. Suh is 2009 AP Player of the year and he also won the Lombardi, Outland, Bednarik and Nagurski trophies.
With the No. 3 pick, the Tampa Bay Buccaneers selected Oklahoma DT Gerald McCoy.
With the No. 4 pick, the Washington Redskins selected Oklahoma OT Trent Williams.
With the No. 5 pick, the Kansas City Chiefs selected Tennessee SS Eric Berry.
With the No. 6 pick, the Seattle Seahawks selected Oklahoma State OT Russell Okung.
With the No. 7 pick, the Cleveland Browns selected Florida CB Joe Haden.
With the No. 8 pick, the Oakland Raiders selected Alabama LB Rolando McClain.
With the No. 9 pick, the Buffalo Bills selected Clemson RB C.J. Spiller.
With the No. 10 pick, the Jacksonville Jaguars selected California DE Tyson Alualu.
With the No. 11 pick, the San Francisco 49ers (from Bears through Broncos) selected Rutgers OT Anthony Davis.
With the No. 12 pick, the San Diego Chargers (from the Dolphins) selected Fresno State RB Ryan Mathews.
With the No. 13 pick, the Philadelphia Eagles (from 49ers through Broncos) selected Michigan DE Brandon Graham.
With the No. 14 pick, the Seattle Seahawks (from Broncos) selected Texas SS Earl Thomas.
With the No. 15 pick, the New York Giants selected South Florida DE Jason Pierre-Paul.
With the No. 16 pick, the Tennessee Titans selected Georgia Tech DE Derrick Morgan.
With the No. 17 pick, the San Francisco 49ers (from Panthers) selected Idaho OG Mike Iupati.
With the No. 18 pick, the Pittsburgh Steelers selected Florida C Maurkice Pouncey.
With the No. 19 pick, the Atlanta Falcons selected Missouri LB Sean Weatherspoon.
With the No. 20 pick, the Houston Texans selected Alabama CB Kareem Jackson.
With the No. 21 pick, the Cincinatti Bengals selected Oklahoma TE Jermaine Gresham.
With the No. 22 pick, the Denver Broncos (from Patriots) selected Georgia Tech WR Demaryius Thomas.
With the No. 23 pick, the Green Bay Packers selected Iowa OT Bryan Bulaga.
With the No. 24 pick, the Dallas Cowboys (from Eagles, through Broncos and Patriots) selected Oklahoma State WR Dez Bryant.
With the No. 25 pick, the Denver Broncos (from Ravens) selected Florida QB Tim Tebow.
With the No. 26 pick, the Arizona Cardinals selected Tennessee DT Dan Williams.
With the No. 27 pick, the New England Patriots selected Rutgers CB Devin McCourty.
With the No. 28 pick, the Miami Dolphins (from Chargers) selected Penn State DT Jared Odrick.
With the No. 29 pick, the New York Jets selected Boise State CB Kyle Wilson.
With the No. 30 pick, the Detroit Lions (from Vikings) selected Cal RB Jahvid Best.
With the No. 31 pick, the Indianapolis Colts selected TCU DE Jerry Hughes.
With the No. 32 pick, the New Orleans Saints selected Florida State CB Patrick Robinson.
In the first round, seven players selected in the draft were from the Big 12 Conference and one from TCU.
This is the 75th NFL Draft. The second round begins at 6 p.m. Friday.