The hunt, which lasts six days, has been allowed to try to cut down the amount of black bears there. It's thought there are about 3,200 of them.
Bears are seen as a problem to some people because they break into people's homes for food and attack animals.
But animal campaigners say hunting is cruel and other methods are better.
Bearskin rug
Hunters caught 61 bears on the first day of the hunt.
One hunter said he planned to eat the bear meat and have its skin made into a rug.
But campaigners say the hunt will not cut numbers enough and that next spring the bears will be back.
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