| 1962–63 FIBA European Champions Cup | |
| League: | FIBA European Champions Cup |
| Sport: | Basketball |
| Finals: | Finals |
| Finals Link: | 1963 FIBA European Champions Cup Finals |
| Finals Champ: | CSKA Moscow |
| Finals Runner-Up: |  Real Madrid |
| Seasonslistnames: | FIBA European Champions Cup |
| Prevseason Link: | 1961–62 FIBA European Champions Cup |
| Prevseason Year: | 1961–62 |
| Nextseason Year: | 1963–64 |
| Nextseason Link: | 1963–64 FIBA European Champions Cup |
The 1962–63 FIBA European Champions Cup was the sixth season of the European top-tier level professional basketball club competition FIBA European Champions Cup (now called EuroLeague). It was won by CSKA Moscow, after they beat Real Madrid in a three-legged EuroLeague Finals, after the two first games ended with an aggregate two-legged tie. CSKA won the third and decisive game, by a score of 99–80, and thus won its second European Champions Cup.
26 teams. European national domestic league champions, plus the then current FIBA European Champions Cup title holders only, playing in a tournament system. The finals were a two-game home-and-away aggregate.
|}
|}
|}
|}
First leg Fiesta Alegre fronton;Attendance 5,000, 23 July 1963[1]
Second leg Lenin Palace of Sports;Attendance 20,000, 31 July 1963[1]