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.

Team 1	Agg.Tooltip Aggregate score	Team 2	1st leg	2nd leg
France	9–4	Austria	5–2	4–2
Portugal	3–6	Yugoslavia	2–1	1–5
Romania	0–5	Czechoslovakia	0–2	0–3
Soviet Union	w/o[note 1]	Spain	Canc.	Canc.

The eight matches took place over two legs, taking place in 1959 and 1960. All times are CET (UTC+1).

13 December 1959

14:30

France	5–2	Austria
Fontaine 6', 18', 70' Vincent 38', 82'	Report	Horak 40' Pichler 65'

Stade Olympique de Colombes, Colombes

Attendance: 43,775

Referee: Manuel Martín Asensi (Spain)

27 March 1960

15:00

Austria	2–4	France
Nemec 26' Probst 64'	Report	Marcel 46' Rahis 59' Heutte 77' Kopa 83' (pen.)

Praterstadion, Vienna

Attendance: 39,229

Referee: Leo Helge (Denmark)

France won 9–4 on aggregate and qualified for the 1960 European Nations' Cup.

8 May 1960

17:00

Portugal	2–1	Yugoslavia
Santana 30' Matateu 70'	Report	Kostić 81'

Estádio Nacional, Lisbon

Attendance: 39,978

Referee: Joseph Barbéran (France)

22 May 1960

16:45

Yugoslavia	5–1	Portugal
Šekularac 8' Čebinac 45' Kostić 50', 88' Galić 79'	Report	Cavém 29'

Stadion JNA, Belgrade

Attendance: 43,000

Referee: Alfred Stoll (Austria)

Yugoslavia won 6–3 on aggregate and qualified for the 1960 European Nations' Cup.

22 May 1960

15:00

Romania	0–2	Czechoslovakia
	Report	Masopust 8' Bubník 45'

Stadionul 23 August, Bucharest

Attendance: 61,306

Referee: Andor Dorogi (Hungary)

29 May 1960

16:30

Czechoslovakia	3–0	Romania
Buberník 1', 15' Bubník 18'	Report

Tehelné pole, Bratislava

Attendance: 31,057

Referee: Leif Gulliksen (Norway)

Czechoslovakia won 5–0 on aggregate and qualified for the 1960 European Nations' Cup.

29 May 1960

Soviet Union	Cancelled	Spain
	Report

9 June 1960

Spain	Cancelled	Soviet Union
	Report

Spain refused to travel for the first leg. The Soviet Union qualified for the 1960 European Nations' Cup by walkover.

There were 27 goals scored in 6 matches, for an average of 4.5 goals per match.

3 goals

2 goals

1 goal

• "1960 European Nations' Cup". uefa.com. Retrieved 13 August 2014.
• "1960 European Nations' Cup". rsssf.com. Retrieved 13 August 2014.^{[dead link‍]}
• Robinson, J. (1996). The European Football Championships 1958-1996. Soccer Book Publishing. ISBN 0-947808-69-8.

• Matches at UEFA.com