Dielectric properties and dc-conductivities in p-type NiO doped with Li (1∼10 atomic%) were investigated below 300 K. Around 40 K, a dielectric relaxation peak appeared with an activation energy of 0.051 eV and the intensity of this peak was found to be thermally activated, the activation energy being 0.01 eV. There was a linear relation between log (σ T 3/2 ) and 1/ T in the range of ∼45 to ∼90 K and the activation energy was 0.057 eV. These behaviours have been discussed in terms of hopping process of nonadiabatic small polarons. The theoretical estimates of electron-phonon-coupling constants, λ, and the changes in spacings between ions, x , associated with formation of a polaron have been carried out. The calculations yield λ and x between Ni 3+ and Ni 2+ in directions are -3.48 eV/A and -9.6×10 -3 A and these between Ni 3+ and O 2- in directions are 0.42 eV/A and 5.12×10 -2 A. This theoretical calculation provides an evidence on stability of nonadiabatic small polarons in p-type NiO.