The 1963 Cotton Bowl Classic was the 27th edition of the college football bowl game, played at the Cotton Bowl in Dallas, Texas, on Tuesday, January 1. Part of the 1962–63 bowl game season, the game featured the fourth-ranked Texas Longhorns of the Southwest Conference (SWC) and the #7 LSU Tigers of the Southeastern Conference (SEC). LSU shut out the Longhorns, 13–0.