Canada's Global News reported one death, citing homicide police, who were not immediately available to confirm. No details were provided.
The Royal Canadian Mounted Police (RCMP) said "multiple victims" were stabbed inside and outside the North Vancouver Library and that one suspect was in custody.
It "appears this was a lone suspect," the RCMP said on Twitter, adding that it was still looking for "potential additional victims."
Amy Robertson of B.C. Emergency Health Services said six people were taken to the hospital and that she was unable to release details on their condition, the Canadian Broadcasting Corp (CBC) reported earlier.
"We were driving up ... and there was a woman right beside her car with a 7-year-old boy, multiple stab wounds and bleeding profusely ... She said it was a random stabber who was running down the street," a witness who gave his name as Steve told Canada's Global News.
Two bridges and a foot ferry connect North Vancouver to the city of Vancouver. North Vancouver is also a popular destination for hiking and skiing, with part of the North Shore mountain range within its boundaries.