Újpest won the 1970 season of the Hungarian Cup by beating Komlói Bányász SK 3–2 in the final. Újpest won the 1970 season of the Hungarian League. As a consequence, Újpest were eligible for entering the European Cup 1970-71 season. In the first round, Újpest beat Crvena Zvezda 2–0 at the Megyeri úti Stadium on 16 September 1970. On 30 September 1970, Crvena Zvezda beat Újpest 4–0 at the Crvena Zvezda Stadium, Belgrade, Yugoslavia. Újpest won the 1970–71 season of the Hungarian League. Therefore, Újpest entered the European Cup 1971-72 season. On 15 September 1971, Újpest beat Malmö FF 4–0 at the Megyeri úti Stadium. On 29 September 1971, Újpest lost to Malmö FF 1–0 at the Malmö Stadion, Malmö, Sweden. In the second round, Újpest faced with the La Liga 1970-71 champion, Valencia CF. On 20 October 1971, Újpest beat Valencia CF at the Estadi de Mestalla, Valencia, Spain. On 3 November 1971, Újpest beat Valencia CF 2–1 at the Megyeri úti Stadium. In the knockout phase, Újpest lost 1–0 to the 1970–71 Scottish Division One-winner Celtic F.C. at the Megyeri úti Stadium on 8 March 1972. On 22 March 1971, Újpest drew with Celtic F.C. (1–1) at the Celtic Park, Glasgow, Scotland, which resulted the farewell of Újpest. Újpest won the 1971–72 season of the Hungarian League. As a consequence, Újpest could enter the European Cup 1972-73 season. On 13 September 1972, Újpest beat FC Basel 2–0 at the Megyeri úti Stadium in the first leg of the first round. On 27 September 1972, Basel beat Újpest 3–2 at the St. Jakob-Park, Basel, Switzerland. However, Újpest qualified for the second round on 4–3 aggregate. On 25 October 1972, Újpest lost 2–1 to the 1971–72 Scottish Division One-winner Celtic F.C. at the Celtic Park, Glasgow, Scotland. On 8 November 1972, Újpest beat Celtic F.C. 3–0 at the Megyeri úti Stadium, Budapest. In the knockout phase, Újpest drew (0–0) with Juventus F.C. at the Stadio Olimpico di Torino, Turin, Italy on 7 March 1973. On 21 March 1973, Újpest drew (2–2) with the Serie A 1971-72-champions and were eliminated from the European Cup 1972-73. Újpest won the 1972–73 season of the Hungarian League. Therefore, Újpest were eligible to participate in the European Cup 1973-74 season. On 19 September 1973, Újpest beat 1972–73 League of Ireland-champions Waterford F.C. at Lansdowne Road in Dublin, Republic of Ireland. On 3 October 1973, Újpest