The 1959 West Texas State Buffaloes football team represented West Texas State College—now known as West Texas A&M University—as a member of the Border Conference during the 1959 college football season. Led by Clark Jarnagin in his second and final season as head coach, the Buffaloes compiled an overall record of 1–9 with a mark of 0–5 in conference play, placing last out of six teams in the Border Conference. West Texas State played home games at the newly-opened Buffalo Bowl in Canyon, Texas.
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