The physical principle of the neutron autoradiography (NARG) method consists in the registration of the distribution number of neutrons, which are scattered isotropically on the nuclei of a tested element, where as in conventional autoradiography the isotropic radiation of the nuclei investigated is recorded. The experimental investigation of the main features of NARG for hydrogen was done by using a resonance filter and a resonance detector made of metallic indium. To demonstrate the possibilities of the proposed method it was compared with the traditional methods of autoradiography and neutron radiography. The method NARG for thin objects gives an object contrast about 20 times higher than in the case of neutron radiography. The minimum detectable content of hydrogen in an object is achieved 6 · 10−5g cm−2. The proposed method has a very high selectivity of hydrogen determination in any object. The high contrast and selectivity of the method enable one to investigate geological problems.