Brakewoman Serita Shone underwent spinal surgery after the accident in Winterberg. Driver Fiona Harrison, meanwhile, suffered a head injury and is under observation in hospital.
GB performance director Gary Anderson said: “I can confirm they were injured during a training run for the British Championships.
“Serita has had spinal surgery and is still under sedation. My focus is now on the two athletes and their families.”
The bobsleigh came off the track at high speed near the bottom of the run. Shone, 22, from Dorset, had only joined the bobsleigh squad last month after switching from athletics, where she was a heptathlete.
Her spokesman Ben Clatworthy said: “Bobsleigh is described as Formula 1 on ice and it can never be 100 per cent safe. Our thoughts are with her and her family and friends.”