The possibility of using the nuclear scattering of 500-1000 MeV protons was investigated, in order to obtain direct, three-dimensional reconstruction of an object with only one exposure. The resolution should be about 1 mm³. Preliminary measurements with an incomplete set-up give a resolution of 10 mm³. Additional independent information on the relative concentration of hydrogen compared with other elements should also be obtainable by nuclear scattering radiography. The radiation doses involved are comparable with those of other techniques. The first experimental results are given.