Shrestha said a total of 94 climbers reached the summit on Wednesday because of good weather conditions.
A year ago seven people lost their lives on the world's highest peak, while 449 summited from the Nepal side and at least another 120 made it to the top from the north side in Tibet.
He and his team started climbing last night from South Col (Nepal Side) and reached the summit at around 8:30 am today, according to Pemba Sherpa of Seven Summit Treks, which organised the record expedition.
Kami made his first ascent of Everest in 1994 when he was 24.
Meanwhile, a 69-year-old double amputee climber from China flew on a helicopter from Everest to Kathmandu on Wednesday, two days after climbing the mountain.
Before leaving for Lukla, the gateway to Mt. Everest, late last month, the father-of-two told reporters in Kathmandu that he had no plans to stop climbing the mountain.
British rugby player dies in Sri Lanka after visiting nightclub
Durham City Rugby Club, which oversees the team, said in a statement the pair suffered "non-rugby related breathing problems". Mr Baty, also from Durham, who had been critically ill, has also now died.
Sherpa is a single mom to three kids and lives in Hartford, Connecticut where she works as a dishwasher at the local Whole Foods.
Kami is a professionally trained Sherpa while Lhakpa is a housewife and avid climber.
Number of times Mr Kami Rita, 48, a professional guide, has reached the Everest summit.
The problems occurred during what is being described as the third "summit wave" of climbers pushing towards the summit in this pre-monsoon season, after the ropes were fixed from both the Nepalese and Tibetan sides of the mountain. Officials said Kami Rita reached the summit on Wednesday with a team of foreign climbers, while Lakpa Sherpa reached the peak from the Chinese side.
Sherpas are famous for guiding mountaineering expedition and a lot of them come from Solukhumbu district, home to the Everest, or nearby mountainous districts.