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The energy-density formalism is applied to finite nuclei. The total energy of the many-nucleon system is expressed as a functional E{p) of the local density p (r), and the ground-state density distribution is found by minimization with respect to p(r). The functional of the potential energy is directly derived from a nuclear-matter calculation with variable neutron excess by Brueckner et al. The density-gradient correction which takes care of the density variation at the nuclear surface contains an exchange-and a correlationenergy part. In a first attempt, proton and neutron densities are assumed proportional; therefore the present calculation is limited to light nuclei. The density distributions are found to be of the so-called modified Gaussian type with a cubic polynomial. Binding energy, radius, and surface thickness are in good agreement with experiment.

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