The wounded animal sank its teeth into hunter Omar Jonsson's arm in the woods outside Storbänna in northern Jämtland.
"I wanted to make sure the bear didn't have any cubs before I shot, but when I fired the first shot the bear came rushing towards me. I managed to fire another shot, but the bear didn't fall," Jonsson told local newspaper Länstidningen.
"A third shot proved necessary too," said Jonsson.
By the time he got off the last shot the bear had managed to get within biting distance. The 194 kilo bear lunged at the hunter before plunging dead to the ground.
"Fortunately it's nothing serious, just a couple of minor scratches from the bear's teeth, nothing too deep. I've been to the doctor and had a tetanus injection," Jonsson told Östersunds-Posten.
The hunter said he was amazed by how quickly everything had happened.
"It was if the bear was running even though it was already dead," he said.