USSR Cup 1991/92, 1/64 finals |
 | 03.05.1991 |  | Asmaral (Moscow) | – | Kuban (Krasnodar) | | 3:1 (1:0) |
 | Moscow Children's City in Luzhniki |
USSR Cup 1990/91, 1/64 finals |
| 14.04.1990 | | Zenit (Izhevsk) | – | Kuban (Krasnodar) | | 2:0 (0:0) |
| Izhevsk |
USSR Cup 1989/90, 1/64 finals |
| 02.05.1989 | | Zarya (Voroshilovgrad) | – | Kuban (Krasnodar) | | 1:0 (1:0) |
| Voroshilovgrad |
USSR Cup 1988/89, 1/32 finals |
| 22.05.1988 | | Kuban (Krasnodar) | – | Druzhba (Maykop) | | 1:2 (1:1) |
| Krasnodar |
USSR Cup 1987/88, 1/64 finals |
| 06.06.1987 | | Kuban (Krasnodar) | – | Atommash (Volgodonsk) | | 1:2 (1:2) |
| Krasnodar |
USSR Cup 1986/87, 1/16 finals |
| 14.06.1986 | | Zhalgiris (Vilnius) | – | Kuban (Krasnodar) | | 3:0 (1:0) |
| Vilnius |
USSR Cup 1985/86, 1/16 finals |
| 14.08.1985 | | Shakhtyor (Donetsk) | – | Kuban (Krasnodar) | | 5:1 (2:1) |
| Donetsk |
USSR Cup 1984/85, 1/32 finals |
| 10.08.1984 | | Nistru (Kishinyov) | – | Kuban (Krasnodar) | | 3:2 (1:0) |
| Chişinău |
USSR Cup 1984, 1/16 finals |
| 22.02.1984 | | Chernomorets (Odessa) | – | Kuban (Krasnodar) | | 3:0 (2:0) |
| Izmail |
USSR Cup 1983, 1/16 finals |
| 25.02.1983 | | Dynamo (Moscow) | – | Kuban (Krasnodar) | | 1:0 (1:0) |
| Moscow |
USSR Cup 1981, Zone 2 |
| 01.03.1981 | | Metallurg (Zaporozhye) | – | Kuban (Krasnodar) | | 3:0 (2:0) |
| Sochi |
USSR Cup 1981, Zone 2 |
| 26.02.1981 | | Kuban (Krasnodar) | – | Kuzbass (Kemerovo) | | 0:1 (0:1) |
| Sochi |
USSR Cup 1980, Zone 1 |
| 07.03.1980 | | Spartak (Moscow) | – | Kuban (Krasnodar) | | 2:0 (2:0) |
| Sochi |
USSR Cup 1980, Zone 1 |
| 01.03.1980 | | Metallist (Kharkov) | – | Kuban (Krasnodar) | | 2:1 (2:0) |
| Sochi |
USSR Cup 1979, Zone 6 |
| 12.03.1979 | | Guria (Lanchkhuti) | – | Kuban (Krasnodar) | | 1:0 |
| |
USSR Cup 1978, 1/32 finals |
| 28.02.1978 | | Kuban (Krasnodar) | – | Shinnik (Yaroslavl) | | 0:1 (0:0) |
| Adler |
USSR Cup 1978, 1/32 finals |
| 24.02.1978 | | Shinnik (Yaroslavl) | – | Kuban (Krasnodar) | | 1:0 (1:0) |
| Adler |
USSR Cup 1976, 1/32 finals |
| 21.03.1976 | | Spartak (Ivano-Frankovsk) | – | Kuban (Krasnodar) | | 2:0 (0:0) |
| Dolyna |
USSR Cup 1975, 1/32 finals |
| 16.03.1975 | | Alga (Frunze) | – | Kuban (Krasnodar) | | 2:1 (1:1) |
| Frunze |
USSR Cup 1974, 1/32 finals |
| 10.03.1974 | | Spartak (Ivano-Frankovsk) | – | Kuban (Krasnodar) | | 2:0 (2:0) |
| Ivano-Frankivsk |
USSR Cup 1970, 1/32 finals |
| 23.04.1970 | | Kuban (Krasnodar) | – | Zhalgiris (Vilnius) | | 0:1 (0:0) |
| Krasnodar |
USSR Cup 1969, 1/128 finals |
| 15.04.1969 | | Kuban (Krasnodar) | – | Trud (Voronezh) | | 0:1 aet |
| Krasnodar |
USSR Cup 1967/68, 1/16 finals |
| 28.06.1968 | | Kuban (Krasnodar) | – | Dynamo (Moscow) | | 0:3 (0:1) |
| Krasnodar |
USSR Cup 1966/67, 1/128 finals |
| 09.04.1967 | | Tavriya (Simferopol) | – | Kuban (Krasnodar) | | 3:0 (1:0) |
| Simferopol |
USSR Cup 1965/66, 1/64 finals |
| 19.06.1966 | | Avangard (Komsomolsk-na-Amure) | – | Kuban (Krasnodar) | | +:- |
| Komsomolsk-on-Amur |
USSR Cup 1965, 1/32 finals |
| 06.05.1965 | | Kuban (Krasnodar) | – | Kairat (Alma-Ata) | | 0:3 (0:3) |
| Krasnodar |
USSR Cup 1964, 1/16 finals |
| 10.06.1964 | | Kuban (Krasnodar) | – | Spartak (Moscow) | | 1:4 (1:1) |
| Krasnodar |
USSR Cup 1963, 1/64 finals |
| 31.05.1963 | | Khimik (Severodonetsk) | – | Kuban (Krasnodar) | | 2:0 |
| Severodonetsk |
USSR Cup 1962, RSFSR zone 3, 1/8 finals |
| 13.05.1962 | | Volgar (Astrakhan) | – | Spartak (Krasnodar) | | 2:0 (0:0) |
| Astrakhan |
USSR Cup 1959/60, Zone 3, semifinal |
| 30.06.1959 | | SKVO (Tbilisi) | – | Kuban (Krasnodar) | | 3:1 |
| Tbilisi |
USSR Cup 1958, Zone 4, quarterfinal |
| 14.07.1958 | | Burevestnik (Tbilisi) | – | Kuban (Krasnodar) | | 2:1 |
| Tbilisi |
USSR Cup 1957, Zone 1, semifinal |
| 01.05.1957 | | Shakhtyor (Kadievka) | – | Neftyanik (Krasnodar) | | 3:2 aet
(0:0, 2:2) |
| Kadievka |
USSR Cup 1955, Zone 4, 1/128 finals |
| 22.06.1955 | | ODO (Petrozavodsk) | – | Neftyanik (Krasnodar) | | 1:0 (0:0) |
| Petrozavodsk |
USSR Cup 1954, 1/64 finals |
| 18.08.1954 | | Neftyanik (Krasnodar) | – | Shakhtyor (Mosbas) | | 1:2 (0:0) |
| Krasnodar |
USSR Cup 1949, RSFSR zone I, semifinal |
| 01.09.1949 | | Dynamo (Voronezh) | – | Dynamo (Krasnodar) | | 2:1 |
| Voronezh |
USSR Cup 1938, Zone 9 (Rostov), round 1 |
| 06.07.1938 | | Dynamo (Krasnodar) | – | Zenit (Taganrog) | | 3:4 aet |
| |
USSR Cup 1936, 1/32 finals |
| 28.07.1936 | | Dynamo (Krasnodar) | – | Lokomotiv (Tiflis) | | 0:3 (0:2) |
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