The retired gymnast went under the knife last week after hurting herself in Innsbruck, Austria while training for the Channel 4 winter sports show.
Alongside a social media photo of herself wearing a neck brace and holding a vase of flowers, the 30-year-old said: "Hi Everyone I just wanted to let you know the good news that I am being discharged from hospital today."
Beth had surgery to fuse fractured vertebrae in her neck after falling on the slopes during training.
Beth and her parents, Ann and Jerry, have been keeping fans updated on her wellbeing via the Olympic medallist's official website.
The last post by Beth, three days ago, read: "The medical staff here in Austria have been fantastic and I couldn't have wished for better people to be around me at this time. I've started to feel a lot better in the past 24 hours and I've begun walking by myself. It's still a case of taking one day at a time, but I'm setting myself goals and I'm determined to be up and about as soon as I can.
"The doctors are happy with my progress and next week we will have a better idea of when I can be discharged from hospital. Thank you to everyone that has sent me get well messages. My Mum and Dad have been reading them to me and, one day, I'll be able to reply to you all, it really has meant a lot to me, so thank you."
Beth is one of five celebrities who pulled out of this year's show because of injuries.
Tina Hobley, Mark-Francis Vandelli, Linford Christie and fellow Olympian Rebecca Adlington were all hurt while in action for the show, prompting fears that the series was too dangerous for TV.
Channel 4 released a statement last week saying: "All winter sports carry some element of risk but in light of the number of injuries this year, Channel 4 asked producers to review safety procedures again. Whilst we are satisfied they, of course, meet safety standards, additional precautions like extra crash pads and simplification of some courses will be used."
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