A contribution is presented to the application of fractal properties and log-periodic corrections to the masses of several nuclei (isotopes or isotones), and to the energy levels of some nuclei. The fractal parameters $alpha$ and $lambda$ are not randomly distributed, but take a small number of values, common also with the values extracted previously from fractal distributions of quark, lepton, and hadronic masses. Several masses of still unobserved nuclei are tentatively predicted.