The 1995-96 Estonian Cup was won by Narva Kreenholm, who defeated THK-88 Tallinn in the final.
Semifinals[]
- Narva Kreenholm 6 - LNSK Narva 5
- THK-88 Tallinnn 8 - Tartu Valk 494 6
Final[]
- Narva Kreenholm 4 - THK-88 Tallinn 2
The 1995-96 Estonian Cup was won by Narva Kreenholm, who defeated THK-88 Tallinn in the final.