(1-x)Ba(Zr0.2Ti0.8)O3-x(Ba0.7Ca0.3)TiO3 (BZT-xBCT) ceramics have been reported to exhibit large dielectric response in the vicinity of the multi-phase-coexisting point (i.e. triple point). However, the reason for large dielectric response in such a material system is still unclear and thus awaits explanation. In this paper, we investigate the reason for large dielectric response by studying the phase transition behavior around the triple point of BZT-xBCT ceramics. Rayleigh analysis indicates that strong dielectric response is due to large reversible contribution caused by phase transition. Moreover, TEM study shows a mottled domain structure with numerous nanodomains close to triple point. Further thermal analysis results suggest that the enthalpy nearly vanishes and the associated specific heat shows discontinuity on the triple point, which suggest a nearly tricritical behavior, which maybe responsible for large dielectric permittivity in BZT-xBCT.