The [SnO2/Cu-Zn ferrite (CZF)]n (n = 5, 10, 15, and 20) multilayer (ML) were deposited by rf-magnetron sputtering to study their magnetic properties. The magnetization and ferromagnetic resonance (FMR) measurements were undertaken to understand the effect of interfaces on the magnetic properties of these ML. FMR signal line shape changes from asymmetric to symmetric as n increases. The FMR signal peak to peak intensity, FMR linewidth, effective and saturation magnetization and coercivity exhibit oscillations as a function of n. In the parallel configuration the resonance field increases with increase in n, presumably due to the decrease in the active layer to dead layer thickness ratio. The interlayer coupling is strong in the ML with n = 5 leading to the formation of spin waves. The ML interlayer coupling and anisotropy decreases with increasing n. The oscillatory behavior of the magnetic properties can be ascribed to the nonmonotonic variations in the structure and the geometry of the interfaces.