Before leaving for the mountain last month, Kami Rita told The Associated Press that he wanted to scale Everest at least 25 times.
Mountaineering runs in his family.
Iswari Paudel of Himalayan Guides Nepal, the company assigned to fix the ropes, confirmed that the team has scaled the mountain. His brother has scaled Everest 17 times.
Weather turned favorable Tuesday night when scores of climbers made a summit push targeting to reach the top Wednesday morning.
Mr Kami Rita first reached the top of Everest in 1994 when working for a commercial expedition. He has also climbed numerous region's other high peaks, including K-2, Cho-Oyu, Manaslu and Lhotse.
A Sherpa guide has been missing on Everest's southern side in Nepal since Monday, said Mingma of Seven Summits.
Apa, a 58-year-old guide who uses only one name, retired in 2011 and moved to Utah. However, an informed source from Everest Base Camp told The Kathmandu Post that Phurba Tashi may climb Everest again.
The other record-setter, 44-year-old Lhakpa Sherpa, set a women's record when she reached the summit for a ninth time.
Apart from Kami, dozens climbed the mountain Wednesday, Shrestha said from the Base Camp. She lives most of the year in the US state of CT and has a son and two daughters.
"This has paved the way for other climbers to reach the summit as well". The mother of 11 has already been acknowledged by the Guinness Book of World Records for climbing the Everest eight times.
More than 340 climbers will attempt the Everest summit in the coming weeks.
He was taken to a hospital for a checkup but appeared to be in good condition.
The climbing season for runs from March through May and hundreds of climbers are now on Everest, trying to reach the top from both the Nepali and Tibetan sides of the mountain.