The results are given of experimental and theoretical studies of the velocity of transient motion of domain walls in a magnetic crystal subjected to a magnetic field ″step″ . A calculation is made of the time of change of the symmetry of a grating formed from magnetic domains allowing for a demagnetizing field. This time decreases with reduction in the domain width, as confirmed by our experiments. Allowance for the demagnetizing field in crystals characterized by weak damping gives rise to a new expression for the domain wall mobility which is independent of the damping parameter.