The 1962–63 Intertoto Cup was won by Slovnaft Bratislava after defeating Calcio Padova in the final. A total of 32 clubs contested the tournament, including the first clubs from France, Italy, Hungary and Yugoslavia to participate in the Intertoto Cup.
The teams were divided into eight groups of four clubs each, although unlike the previous season there was less strict geographical division. The eight group winners (in bold in the tables below) advanced to the knock-out rounds.
The Pecs v Rijeka match has also been reported as 2–0, but was officially recorded as 2–1.
Played over one leg, in Padova.
It has also been unofficially reported that this tie was played over two legs, the first match in Bratislava being 0–0.