Dielectric behaviour of flux grown substituted crystals bearing composition SrGa x In y Fe 12−(x+y) O 19 (x=5, 7, 9; y=0.8, 1.3, 1.0) is reported. Variation of dielectric constant (ɛ / ), dielectric loss (tanδ) and ac conductivity (σ ac ) with temperature in the range 30–500°C under the frequency of the applied ac field in the range 1–10 4 kHz for all the varied compositions are analyzed and explained. Swift heavy ion irradiation effects on these parameters are investigated. On irradiation the crystals show changes in the values of dielectric constant (ɛ / ), dielectric loss (tanδ) and ac conductivity (σ ac ). The frequency variation of ɛ / and tanδ is explained by Koop's phenomenological theory and hopping frequency of electrons between Fe 2+ and Fe 3+ on octahedral sites for both irradiated and unirradiated crystals.