The victims were identified as 43-year-old Belarusian national Maxim Polyansky and 37-year-old Lithuanian citizen Sergei Rubtsov, according to the Osh regional interior department, cited by Kyrgyz news outlet 24.kg.
Their bodies are held at a morgue in Osh and are expected to be repatriated to their home countries soon.
A third member of the group, Belarusian Nikolai Sviridov, 60, remains missing.
The three climbers reached the summit of Korumdu on 2 August. They were due to begin their descent to a base camp on 4 August, but failed to make contact at the agreed time.
Emergency services and volunteers launched a search operation, which has been hampered by heavy snowfall and poor visibility in the area.
The Korumdu peak, which is 6,613 metres high, is considered an extremely challenging climb.