The following are the football (soccer) events of the year 1960 throughout the world.

• NK Maribor

• Copa Libertadores 1960
  • Won by Peñarol after defeating Olimpia Asunción on an aggregate score of 2–1.
• European Cup 1959-60
  • Real Madrid beat Eintracht Frankfurt, 7–3, in the final at Hampden Park
• Inter-Cities Fairs Cup 1958-60
  • FC Barcelona defeated Birmingham City in the final, 4–1, on aggregate
• 1960 International Soccer League
  • Bangu beat Kilmarnock F.C., 2–0, in the final at the Polo Grounds
• April 3 – Humphrey Mijnals becomes the first player from Surinamese descent who makes his debut for the Netherlands national football team when Holland defeats Bulgaria (4–2) in a friendly.^[1]

•  Argentina: Club Atlético Independiente
•  Brazil: Palmeiras
•  England: Burnley
•  France: Stade de Reims
•  Hungary: Újpest FC
•  Israel: Hapoel Petah Tikva F.C.
•  Italy: Juventus
•  Mexico: Chivas Guadalajara
•  Netherlands: Ajax Amsterdam
•  Paraguay: Olimpia Asunción
•  Soviet Union: Torpedo Moscow
•  Spain: Barcelona
•  Sweden: IFK Norrköping
•  Turkey: Beşiktaş

• UEFA European Football Championship in France (July 6 – 10 1960)
  1.  Soviet Union
  2.  Yugoslavia
  3.  Czechoslovakia
• Olympic Games in Rome, Italy (August 26 – September 10, 1960)
  1.  Yugoslavia
  2.  Denmark
  3.  Hungary
• 1960 British Home Championship (October 3, 1959 – April 15, 1960)

Shared by  England,  Scotland and  Wales

• January 3 – Washington César Santos, Brazilian international footballer (died 2014)
• January 27 – Ryszard Rybak, Polish footballer
• February 10 – Miguel Bossio, Uruguayan international footballer
• February 27 – Jan van Grinsven, Dutch footballer
• March 27 – Hans Pflügler, German international footballer
• April 4 – Marvin Obando, Costa Rican footballer
• April 11 – Marko Elsner, Slovenian international footballer (died 2020)
• April 14 – Gian Piero Ventrone, Italian coach and athletic trainer (died 2022)
• April 16 – Pierre Littbarski, German international footballer and manager
• April 18 – Zvjezdan Cvetković, Yugoslavian international footballer and Croatian Serb manager (died 2017)
• April 29 – Ron de Groot, Dutch footballer and manager
• June 16 – Cándido Martínez, Spanish footballer
• June 25 – Craig Johnston, Australian footballer
• July 20 – Lauren Gregg, American soccer coach
• August 9 – Viorel Turcu, Romanian international footballer (died 2020)
• August 24 – Jimmy Montanero, Ecuadorian international footballer
• August 28 – Julio César Romero, Paraguayan footballer
• October 30 – Diego Maradona, Argentine international footballer (died 2020)
• November 26 – Rémy Vogel, French international footballer (died 2016)
• November 27 – Martin van Geel, Dutch footballer
• November 30 – Gary Lineker, English international footballer and TV presenter^[2]
• December 20 – Piet Keur, Dutch footballer
• December 31 – Steve Bruce, English international