The Trekking Agencies Association of Nepal said Wednesday that five bodies have been recovered from the Phu area in Manang.
"Four of the deceased are Canadian and one is from India," the statement says.
Prime Minister Stephen Harper said on Twitter that he and his wife "express our condolences to the families and friends of the four Canadians who lost their lives in an avalanche in Nepal," he wrote.
The identity of the deceased and where they are from has not yet been released. Canada's Foreign Affairs department did not confirm the Canadian deaths Wednesday, but said in a statement they were aware of the reports that Canadians were affected and were in contact with local authorities.
"Our thoughts are with those affected by the avalanche in Nepal," a spokesman said in a statement. "To protect the privacy of affected individuals, we cannot release further details at this time."
Search on for missing trekkers
Still more people are missing and stranded around the Annapurna region, the trekking association says, but the rescue efforts will be complicated by weather and the remote location.
Rescue helicopters have been deployed, but information about exactly who is stranded and missing is not yet clear.
Earlier in the day, CBC News was told six Quebecers were missing. Later in the day, sources clarified that three people among a group of six Quebecers were among those missing and feared dead.
"A search is still ongoing to find the three missing persons and Terra Ultima remains in constant communication with the local authorities," a statement from the Montreal-based travel company said.
Two Ottawa women are believed to be among the missing and a Toronto-area man says he is concerned his brother and the brother's girlfriend are also among the missing.
Mark Schwartz confirmed Wednesday that his sister, Virginia Schwartz of Ottawa, and her friend, Jane Van Criekingen, are missing and unaccounted for.
A Facebook group dedicated to connecting trekkers in Nepal since the avalanche posted a picture of the two women from Oct. 9. It is not yet known if these two women were part of the Terra Ultima group that left Quebec.
Nadia Chychrun, meanwhile, said she hasn’t heard from her brother and his girlfriend since Oct. 12. The pair were in the area trekking.
Marc Voyer, 38, and Rose Maninang, 39, were halfway through the Annapurna circuit and were on their way back down, Chychrun said.
The death toll could rise as rescuers continue to try to locate and move the missing. The rescue effort is tricky, because search crews have to work in remote areas in bad weather
October is the most popular trekking season in Nepal, with thousands of foreigners hiking around Nepal's Himalayan mountains. The Thorong La pass is also on the route that circles Mount Annapurna, the world's 10th highest peak.
The rough weather is linked to cyclone that hit neighbouring India.
Locals and trekkers killed
Three villagers were killed Monday in the same district, about 160 kilometres northwest of the capital, Kathmandu, and their bodies were recovered on Wednesday
In the neighbouring Mustang district, four trekkers caught in a blizzard died Tuesday.
Rescuers recovered the bodies of the two Poles, one Israeli and one Nepali trekker from the Thorong La pass area.
It was initially thought that the group had been caught in an avalanche, but government official Yam Bahadur Chokyal said the four trekkers had been caught in the blizzard and died.
He said another 14 foreign trekkers have been rescued so far, and two army helicopters were picking up injured trekkers and flying them to Jomsom town.
Five other climbers — two from Slovakia and three Nepalese guides — were hit by a separate avalanche on Mount Dhaulagiri and remained missing.
An avalanche in April just above the base camp on Mount Everest killed 16 Nepalese guides, the deadliest single disaster on the mountain.
Climate experts say rising global temperatures have contributed to avalanches on the Himalayan mountains.