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Ceramics in the solid solution series (1 − x)BaTiO₃–Bi(Mg_0.5Zr_0.5)O₃ are single-phase tetragonal for compositions x ≤ 0.05, and cubic for x ≥ 0.1. Plots of relative permittivity (ɛ_r), versus temperature show double peaks for x = 0.03 and x = 0.05, changing to a single, frequency-dependent peak for compositions, x ≥ 0.1. A progressive decline in ɛ_r max with increasing x leads to near temperature-stable dielectric properties over a wide temperature range. For x = 0.3, ɛ_r = 570 ± 15%, from −20 °C to 430 °C, and tan δ ≤ 0.02 from 30 °C to 420 °C. For x = 0.4, ɛ_r = 600 ± 15% from 25 °C to 420 °C, and tan δ ≤ 0.02 from 55 °C to 280 °C (at 1 kHz). Values of dc resistivity were ∼10⁹ Ω m at 250 °C and ∼10⁶ Ω m at 400 °C. A piezoelectric strain of ∼0.25% (at 40 kV/cm) was recorded for composition x = 0.03.