Christopher John Kulish, 61, scaled the 8,850 metre (29,035 feet) peak from the normal Southeast Ridge route in the morning but died suddenly at South Col after descending from the summit.
It is not clear how the American national died.
Most of the deaths on Everest this year have been attributed to exhaustion and tiredness.
A crowded route to and from the summit has caused delays, with the season ending this month.
A record 381 climbers were allowed to scale the summit from the Nepali side this season.
Two climbers have also died on the Tibetan side of the mountain.
Around 5,000 people have scaled the Everest summit so far and approximately 300 have died on its slopes.
Robin Haynes Fisher, 44, reportedly fell ill while descending from the summit on Saturday and later died.
Irishman Kevin Hynes, 56, also passed away in his tent at 7,000 metres (23,000 ft) in the early hours of Friday morning.
The dad-of-two is survived by his wife Bernadette, daughter Erin and son James.