Private Steven Taylor-Murray, 23, was injured at Halton Camp in Lancaster while on a training week and died in hospital on Friday. Lancashire Police launched an investigation into the death but it is not being treated as suspicious.
The parents of the soldier yesterday called him their hero. His mother, Kathleen, and father, Jim Taylor, said: "Steven loved his family, the army and Celtic Football Club. He did not get the chance to be Scotland's army hero, but he was our hero."
Private Taylor-Murray, from East Kilbride, was training with 1st Infantry Training Battalion based in Catterick, North Yorkshire.