Summary
| Team 1 | Agg. | Team 2 | 1st leg | 2nd leg | Replay |
|---|---|---|---|---|---|
Luxembourg  | 5–6 |  Denmark | 3–3 | 2–2 | 0–1 |
Spain  | 7–1 |  Republic of Ireland | 5–1 | 2–0 | |
France  | 2–5 |  Hungary | 1–3 | 1–2 | |
Sweden  | 2–4 |  Soviet Union | 1–1 | 1–3 |
The 1964 European Nations' Cup quarter-finals was the third round of qualifying competition for the 1964 European Nations' Cup. They were contested by the eight winners from the round of 16. The winners of each of four home-and-away ties progressed to the final tournament. The matches were played in 1963 and 1964.
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.
| Team 1 | Agg. | Team 2 | 1st leg | 2nd leg | Replay |
|---|---|---|---|---|---|
| Luxembourg | 5–6 | Denmark | 3–3 | 2–2 | 0–1 |
| Spain | 7–1 | Republic of Ireland | 5–1 | 2–0 | |
| France | 2–5 | Hungary | 1–3 | 1–2 | |
| Sweden | 2–4 | Soviet Union | 1–1 | 1–3 |
The four matches took place over two legs, taking place in 1963 and 1964.
5–5 on aggregate. A replay was played on a neutral ground to determine the winner.
| Denmark | 1–0 | Luxembourg |
|---|---|---|
O. Madsen  41' | Report |
Denmark won 6–5 on aggregate and qualified for the 1964 European Nations' Cup.
| Republic of Ireland | 0–2 | Spain |
|---|---|---|
| Report | Zaballa 25', 88' |
Spain won 7–1 on aggregate and qualified for the 1964 European Nations' Cup.
Hungary won 5–2 on aggregate and qualified for the 1964 European Nations' Cup.
| Sweden | 1–1 | Soviet Union |
|---|---|---|
| Hamrin 88' | Report | Ivanov 62' |
| Soviet Union | 3–1 | Sweden |
|---|---|---|
| Ponedelnik 32', 56' Voronin 83' | Report | Hamrin 78' |
Soviet Union won 4–2 on aggregate and qualified for the 1964 European Nations' Cup.
There were 32 goals scored in 9 matches, for an average of 3.56 goals per match.
6 goals
2 goals
1 goal
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