The soliton self-frequency shift (SSFS) in orthogonally polarised femtosecond soliton pulses is reported for the first time. It is shown that SSFS for orthogonally polarised solitons is approximately 1/3 of that for parallel polarised solitons. This is attributed to the orthogonal Raman term. The 2pi and pi dependences of the SSFS on the phase difference between the two solitons are newly obtained for parallel and orthogonal polarisations, respectively. The largest SSFS occurs in-phase under parallel polarisation.