A new numerical method is proposed for solving an inverse problem of pulsed neutron-gamma inelastic log . The matter is to determine a composition of fluid and rock skeleton by gamma-ray measurement data in spectral windows of four elements: C, O, Ca, Si. Inverse of the data is based on iteration procedure, on each step of that the corresponding direct problem is solved for transport equations of neutrons and gamma quanta. Results of numerical experiments are presented which confirm a convergence to exact solution for the most of unknowns. The proposed numerical method is development of general approach for solving inverse problem in nuclear geophysics early considered [1-5].

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