High Quality Content by WIKIPEDIA articles! The 1968 NCAA Men`s Division I Basketball Tournament involved 23 schools playing in single-elimination play to determine the national champion of men`s NCAA Division I college basketball. It began on March 8, 1968, and ended with the championship game on March 23 in Los Angeles, California. A total of 27 games were played, including a third place game in each region and a national third place game.