The 1960 European Nations' Cup quarter-finals was the third round of the qualifying competition for the 1960 European Nations' Cup. It was contested by the eight winners from the round of 16. The winners of each of four home-and-away ties entered the final tournament. The matches were played in 1959 and 1960.
Each tie winner progressed to the quarter-finals. The quarter-finals were played in two legs on a home-and-away basis. The winners of the quarter-finals would go through to the final tournament.
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The eight matches took place over two legs, taking place in 1959 and 1960. All times are CET ().
France won 9âÂÂ4 on aggregate and qualified for the 1960 European Nations' Cup.
Yugoslavia won 6âÂÂ3 on aggregate and qualified for the 1960 European Nations' Cup.
Czechoslovakia won 5âÂÂ0 on aggregate and qualified for the 1960 European Nations' Cup.
Francisco Franco did not allow the Soviet Union football team to enter Spain to play the first leg. The Soviet Union qualified for the 1960 European Nations' Cup by disqualification.