We have studied the domain wall dynamics in amorphous and nanocrystalline FeCoMoB microwires. The domain wall propagation velocity has been found very fast (up to 5000 m/s) for the as-cast sample. Annealing at 575 K/1 h leads to the stress relief and sample homogenization and the domain wall velocity even increases to 5300 m/s. However, the domain wall dynamics is highly sensible to the temperature of a measurement. Annealing at 775 K/1 h leads to the appearance of the nanocrystalline structure with much higher temperature stability. The maximum domain wall velocity decreases (2800 m/s), however the domain wall dynamics is much stable with the temperature.