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In this study, (Zr0.8Sn0.2)TiO4-Epoxy composite have been synthesized and characterized at X-band frequencies. (Zr0.8Sn0.2)TiO4 and Epoxy are mixed in five different ratios, i.e. 50:50, 60:40, 70:30, 80:20 and 90:10 with small amount of hardner (HY 951). The complex permittivity of the composite is measured at different microwave frequencies in X-band (8.2-12.4 GHz). It is found that the permittivity is reduced by increasing the percentage of epoxy in the composite. The optimized ratio of (Zr0.8Sn0.2)TiO4 and Epoxy composite material have been used in two layer rectangular dielectric resonator antenna using coaxial excitation. The proposed design provides the measured impedance bandwidth of 58.7% (at resonance frequency 8.40 GHz) from 6.45 to 11.38 GHz for reflection coefficient (S11) less than -10dB with absolute gain of 6.7 dB. The radiation patterns are consistent throughout the operational bandwidth.