The barrier heights and carrier densities of ZnO varistors with various compositions were estimated using C-V, J-V and $ ho$-T relations. The barrier heights obtained from C-V and J-V plots were 0.73~5.98 eV and 0.25~2.70 eV, respectively. The carrier densities estimated from C-V plots were ~$10^{18}cm^{-3}$. Acceptable values of the barrier heights and the carrier densities were obtained from $ ho$-1/T curves and the capacitances at zero bias; 0.6~0.8 eV for the barrier heights and ~$10^{17}cm^{-3}$ for carrier densities. Addition of cobalt increased the barrier height and the carrier density, while chromium slightly lowered both of them.