The team reached the peak from the northern Tibet side of the mountain this morning, with the first climber summiting at 8:20 am (0020 GMT) and the rest of the group following shortly after.
"Six members from our team reached the summit this morning, the first of the season," Satish Kumar from Transcend Adventures, the operators organising the climb, told AFP.
The busy spring climbing season on Everest runs from late April to May when a narrow window of good weather opens allowing climbers to reach the top of the world.
But so far high winds, fresh snowfall and unusually cold temperatures have forced most teams to delay their summit attempts.
Nearly 750 climbers are waiting to ascend the 8,850-metre (29,035-foot) peak from the Nepal side, and another 300 on the Tibet side.
On the busier south side, a team of highly skilled rope fixers are still waiting for a period of good weather to lay the ropes to the summit.
A group of Sherpa guides fixed ropes to the peak on the north side on Thursday, paving the way for the first summit of the season.
The season has already been hit by two deaths -- experienced Swiss climber Ueli Steck who died in late April while on an acclimatization climb and 85-year-old Min Bahadur Sherchan who died while attempting to reclaim his title as the world's oldest person to summit Everest.
Last year five people lost their lives on the world's highest peak, while 443 successfully summited from the Nepal side and another 197 made it to the top from the north side in Tibet.