Beth, Britain's most successful gymnast, is now recovering in hospital in Austria, after doctors took a piece of bone from her hip and used it to fuse the two vertebrae which were fractured, before pinning them together.
The 30-year-old had to be airlifted to hospital after suffering a fall on Saturday (February 6).
She had been training for the winter sports challenge show, which sees celebrities compete in events such as bobsleigh, ski cross and snowboarding to be crowned champion.
'Scary' 48 hours
Speaking from her hospital bed, Beth said: "Thank you so much for your support and concern.
"The last 48 hours have been very scary but all the messages have really helped to keep me positive.
"I will keep you updated on my progress.”
This year's series of The Jump has been blighted by injuries, with both Tina Hobley and Rebecca Adlington forced to withdraw from the competition after sustaining injuries.
Beth's parents thank medical staff
Beth’s parents Ann and Jerry Tweddle said they are 'very grateful' that the operation was a success.
"The early medical indications were positive as Beth was able to move her hands and feet, despite being in a lot of discomfort," they said.
"The medical staff have been fantastic and explained to us that Beth was waiting for an operation as there were more serious cases ahead of her."