(1 ‒ x )Ba _0.55 Sr _0.45 TiO ₃ ‒ x Bi(Mg _0.5 Hf _0.5 )O ₃ [(1 ‒ x )BST‒ x BMH] ( x = 0, 0.05, 0.10, 0.15, and 0.20) ceramics were fabricated through the well‐known low‐cost solid‐state mix oxide sintering method. The physical and electrical properties were investigated for all ceramics sintered at 1350°C/2 h. X‐ray diffraction data analysis revealed single Perovskite phase with pseudocubic symmetry for all compositions. The microstructure examination revealed densely packed grains with lowest average grain size of 0.70 µm for x = 0.15. BMH doping lowered the electrical conductivity that has significant effect on the breakdown voltage with increased activation energy. High recoverable energy storage density ∼4.69 J/cm ³ and high efficiency ∼91% at an electric field ∼450 kV/cm is achieved for 0.85BST−0.15BMH ceramic. Furthermore, 0.85BST−0.15BMH ceramic possess fast discharge time of ∼40 ns and a high power density of 122 MW/cm ³ at 180 kV/cm. These properties reveal that 0.85BST−0.15BMH ceramic is a potential candidate for power electronic capacitor applications working in high‐temperature condition.