To mark the occasion, here is a photo gallery featuring some memories from that historic achievement.
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We kick off with West Riding County Cup action at Elland Road as Brian Caswell battles for the ball.
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Bob Hazell, who was on trial with the Whites after being released by Leicester City, in action.
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Andy Ritchie was on the scoresheet that day along with strike partner Keith Edwards who bagged a brace.
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Keith Edwards fires towards goal in front of 13,334 at Elland Road. The Whites took the three points thanks to goals from Ian Baird and John Sheridan.
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