The climbers, identified as Arun Kumar Tiwari and Sandeep Are, were exhausted while they were coming down from the peak and could not be saved despite the best efforts of their guides.
Efforts are underway to bring back the bodies of the deceased climbers to Kathmandu, Karki said.
With this, the death toll on Everest has reached five in this season. Earlier, three Nepali climbers died on Mt Everest.
