History:KKI Kaunas used a name SKIF Kaunas while playing in USSR National League (1947-49), while in Lithuanian SSR League they always used a name KKI Kaunas.Lithuanian SSR: 1946-2, 47-1, 48-1, 49-1, 51-2, 59-3, 60-7, 61-8 |
League positions:
| Season | Tier | Division | W-L | Position + PlayOff | Cup | European competitions |
|---|---|---|---|---|---|---|
| 1946 | 1 | Lithuanian SSR | 5-1 | 2nd | ||
| 1947? | 1 | Lithuanian SSR | 4-0 | 1st (Group A)  |  Russia: 1st (8-1) | |
| 1947-48 | 1 | National | beat ASK Kaunas 39-16 in the Final | Russia: 4th | ||
| 1949? | 1 | National | 1st (Group: Joined for the Final) beat ASK Kaunas 2-0 in the Final | Winner | Russia: 2nd (Group 1-8) | |
| 1949 | 1 | Lithuanian SSR | 1st (Group: Joined for the Final) beat ASK Kaunas 2-0 in the Final | Winner | Russia: 2nd (Group 1-8) | |
| 1951 | 1 | Lithuanian SSR | 6-1 | 2nd beat Kauno audiniai 33-27 in the Final | Winner | |
| 1958-59 | 1 | Lithuanian SSR | 15-3 | 3rd | ||
| 1959-60 | 1 | Lithuanian SSR | 7-11 | 7th | ||
| 1960-61 | 1 | Lithuanian SSR |
