The structure and dielectric properties of Ba(Ti0.91Zr0.09)O3 ceramics with CuO doped were investigated. XRD indicates that compositions have single tetragonal phase for x (CuO) ≤ 0.38wt% at room temperature and shows the increase in the distance of (110) lattice plane. A decrease in grain size is observed when the content of CuO increase. For x = 0, only one dielectric constant peak in ε -T curve is observed at TC. It appears a normal ferroelectric behavior. With increasing CuO, another dielectric constant peaks in ε -T curve is observed at the transition point (T1) from tetragonal to orthorhombic. At Orthorhombic-Tetragonal phase transition point, larger diffuseness of the phase transition (▵Tdif), the frequency dispersion (▵Trelax) and γ are observed and a diffuse phase transition at Tetragonal-Cubic phase transition point. The physical mechanism of the relaxation process is discussed.