Chief Coroner Kirsten MacDonald said the girl was playing soccer with other children in Watson Lake, about 460 kilometres southeast of Whitehorse.
The girl died after she was rushed to hospital.
The Yukon Department of Education has announced it will conduct its own investigation into the girl's death.
The net has been removed from the field and officials are also taking away unfixed soccer nets from Department of Education properties as a precaution.
Watson Lake Mayor Richard Durocher said the community is shaken by the incident.
"The community is pretty solemn today, it's pretty quiet," Durocher said.
"You go around town — I've been to a few places — and I've seen their eyes well up in a couple of situations, it's very tragic."
The girl's name has not been released at the request of her family. (CKRW, The Canadian Press)