The present article reports a theoretical study of nondispersive magnetostatic forward volume wave (MSFVW) propagation in a double-layered yttrium–iron–garnet (YIG)-film structure consisting of two YIG films separated by a dielectric layer. Numerical computations are presented that show that a significant improvement in bandwidth for nondispersive MSFVW propagation can be obtained in the present separated double-layered YIG-film structure over the previously reported double-layered YIG-film geometry wherein the two YIG films were in direct contact.