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This paper reports on the effects of nano-BaTiO3 particles on the dielectric, thermophysical (thermal conductivity) and mechanical properties of ethylene-vinyl acetate (EVM) elastomer/BaTiO3 microcomposites. The EVM composites with nano-, micro- and nano/micro hybrid BaTiO3 fillers have been prepared by melt compounding. The results showed that the addition of nano-BaTiO3 particles to micro- BaTiO3/EVM composites could lead to an enhancement in permittivity, thermal conductivity and mechanical strength when compared with the micro-BaTiO3/EVM composites with the same total filler content, whereas the dielectric strength did not show significant difference and the dielectric loss tangent increased slightly. The Maxwell-Garnett effective medium model was used to analyze the BaTiO3 concentration dependence of relative permittivity of the composites.