The announcement marking her award praised "the mental and technical strength" required to claim an individual biathlon gold at the Winter Olympics in Pyeongchang.
The 22-year-old, who is also one of the nominees for Swedish Radio's own sports achievement of the year award, the Jerring prize, said she was honoured.
"It's huge. It's a great prize, I do not know if you can get a much nicer prize for what I've done," she said.
Hanna Öberg became a household name in Sweden when the previously little known skier stormed through to win gold and add a relay silver at the Olympics in February this year.
She follows last year's Bragdguld winner Sara Sjöström, a swimmer who is no longer eligible for the prize having already won it the maximum two times.
Other winners since the prize was first awarded in 1925, include famous names such as Björn Borg, and skiers Anja Pärson and Ingemar Stenmark.