The relationship between coercivity (H
c) and magnetostriction (λs) of the glassy Fe-(Al, Ga)-(P, C, B, Si) alloys has been discussed. The glassy Fe-(Al, Ga)-(P, C, B, Si) alloys exhibit lower H
c and lower I
s compared with the conventional Fe-based amorphous alloys with the same λs and Fe content, respectively. Theoretical analysis on the basis of domain-wall movement suggests that the low H
c results from the long-range homogeneous structure of the glassy alloys, which realizes a low density of pinning centers. The good combination of high glass-forming ability and good soft magnetic properties (especially low H
c) indicates the possibility of future development as new bulk glassy soft magnetic materials.