The bear went on the attack in the woods near Storvattnet, west of Kramfors and almost 500 kilometres north of Stockholm.
The man is reported to have suffered only superficial injuries but is being kept in hospital under observation.
Police were alerted at 11.17am that a 39-year-old man, who was taking part in a elk hunt in the area, had been bitten.
The attack occurred when the 39-year-old approached his barking dog to put a lead on him after the hunt had received a call that the dog was barking at a wild animal, which they feared could be a bear.
The 39-year-old was accompanied by a hunting colleague when the bear leapt out of its hole, bowled him over and bit him in the leg, according to a report in Dagens Nyheter.
The 39-year-old’s companion then fired four shots to kill the bear.
The other hunters in the five-man team called the emergency services who were rapidly on the scene and rushed the injured man to Sollefteå hospital.
This is the second report of a bear attack in Sweden within a week. The Local reported on Thursday that a hunter had been attacked and mauled by a bear just north of Bollnäs. The man escape with only minor injuries.
Sweden is home to an estimated 2,900 bears, and the size of the population is growing, according to the Swedish University of Agricultural Sciences.
But bear attacks in Sweden remain unusual. Since 1977, there have been 26 reported attacks on people, resulting in two deaths.
It is most common for attacks to coincide with hunting expeditions, which has been the case for 19 of the 26 attacks.