AFC Ajax is one of the most successful football clubs in Europe. They have won the European Cup/Champions League four times, and are one of three clubs that have won the competition three times consecutively. Ajax have also won the UEFA Cup Winners' Cup once, the UEFA Cup once, the UEFA Super Cup three times, the Intercontinental Cup twice and the International Football Cup once. The club has also appeared in three additional finals finishing as runners-up. In the 1979–80 season, Ajax player Søren Lerby was the top scorer of the European Cup with ten goals. Below is a list of all official European matches contested by Ajax.

The 1995 Intercontinental Cup was an association football match played on 28 November 1995 between Ajax, winners of the 1994–95 UEFA Champions League, and Grêmio, winners of the 1995 Copa Libertadores. The match was played at the National Stadium in Tokyo. It was Ajax's second appearance into the competition, after the victory in 1972; moreover, Ajax declined to play in 1971 and 1973, being replaced by Panathinaikos and Juventus respectively. It was Grêmio's second appearance as well, after the victory in 1983.