A class of ceramic composite prepared with two kinds of oxide ceramics of ferroelectric BaTiO3 and superconducting YBa2Cu3O6+δ is reported, and the phase structure and electrical transport properties of the samples are investigated. The results show that the main phases varied in different composition regions. For low nominal YBa2Cu3O6+δ content, the conductive characteristics of the two-phase (BaTiO3 and YBa3Ti2O8.5) composite follow the three-dimensional percolation model; while for high nominal YBa2Cu3O6+δ contents, superconductivity is observed.