The victim, who was in her early 40s, was taken to the Teslin Community Health Centre by her husband, who told officials about the incident.
It's not clear if the woman had already died by the time her husband got her to the health centre.
Yukon's Chief Coroner says the incident happened off the South Canol Road, in the Johnson's Crossing area, late in the morning or early in the afternoon Saturday.
This isn't the first death in the North involving a bear this year.
Last month, Kenton Novotny, 53, was charged and struck by a grizzly bear while on a hunting trip in Norman Wells, N.W.T.
Friends reported Novotny had just killed a moose when the bear "came out of nowhere." Novotny died on the scene.
The most recent grizzly-bear killing in Yukon happened in 2006 near Ross River.
Jean-Francois Pagé, 28, was staking mining claims when he unknowingly walked by a bear den with a sow and two cubs.
At the time, RCMP said Pagé was probably mauled by the mother, who was trying to protect her young.
Officials believe the bear involved in Saturday's incident was killed and that there was "no risk of another incident."
The coroner's office, along with the territory's Department of Environment and RCMP, continue to investigate the death.
They expect to provide an update Monday.