Double defect modes are found in one-dimensional dielectric photonic crystal with a single-negative material defect. The frequency and the frequency interval of the two defect modes can be tuned just by changing the permittivity, permeability and the thickness of the defect layer respectively. At the frequencies of the defect modes, the electric fields are strongly localized at the interfaces between the defect layer and its adjacent layers. Such properties can be explained by the single negative material tunneling effect where the finite-size dielectric photonic band gap can mimic one kind of effective single negative material.