The effect of field annealing on the velocity changes of magneto surface acoustic wave (MSAW) devices has been investigated for deposited $(Fe_{1-x}Co_x)_{89}Zr_{11}$ (x = 0~1.0) amorphous films. By means of two step field annealing at $195^{circ}C$ for 10 minute in the magnetic field of 130 Oe, the MSAW device with x=0.4 film among the devices showed the superior velocity change of 0.1 %. This gigantic value was obtained in the DC bias field of 40 Oe at the exciting frequency of 8.7 MHz. It was confirmed that such behavior was due to the variation of differential permeability caused by an optimal stress within the magnetic film.