The dielectric properties of elastomer composites formed by dispersions of bismuth ferrite (BiFeO 3) multiferroic filler particles in styrene− butadiene rubber (SBR) were studied. The SBR/BiFeO 3 films (10−100 μm) were prepared in the presence of electric (E) or magnetic fields (H), showing remarkable characteristics in comparison with systems obtained in its absence. The dispersed multiferroic fillers form clusters of much smaller size when prepared under E or H. The dielectric constant, ε (measured up to 1 MHz), increases with BiFeO 3 concentration until reaching saturation. The rise of ε was obtained at concentrations much lower for samples prepared in the presence of E or H than in its absence. Saturation is assigned to connectivity between filler clusters at the largest concentrations, increasing leakage currents and limiting the dielectric behavior. The whole dependence of ε with BiFeO 3 concentration was described using a proposed model. The dc resistivities, ρ, increase with BiFeO 3 concentration but remain high (ρ ≈ 10 GΩ•cm), allowing using the films as capacitors with filter action between 100 kHz and 7 MHz. The films prepared in the presence of H present strong dependence of the ferroelectric response with magnetic fields applied af ter preparation; that is, electromagnetic coupling was observed in those samples. 49 (SBR) embedded with Fe 3 O 4 −Ag superparamagnetic particles 50 by evaporating the solvent between two magnets. The particles 51 group forming needle-like structures aligned in the direction of 52 the magnetic field applied during preparation, providing the 53 anisotropic properties. The concentration threshold for 54 obtaining the desired effect is significantly reduced in 55 comparison with random composites. 9 56 Other devices of high relevance are elastomer/multiferroic 57 capacitors, where a multiferroic filler, which presents 58 simultaneously magnetic and electric orders at room temper-59 ature, 10,11 is dispersed in the elastomer polymer. The 60 exploration of these systems has already been started recently 61 using BiFeO 3 nanoparticles, which are the paradigmatic single-62 phase multiferroic compounds. 12−16 For instance, Bhadra et 63 al. 13 used the ferroelectric elastomer poly(vinylidene fluoride) 64 (PVDF), whose dielectric response was enhanced by randomly 65 dispersing BiFeO 3. Tamboli et al. and Ahlawat et al. reported