Abstract <p>An analytical and numerical study of multiple small-angle neutron scattering on volume fractals is carried out. The dependence of the intensity of multiple small-angle scattering on the scattering vector is determined for different Hausdorff dimensions and scattering multiplicities. It is shown that the graph of this dependence in double-logarithmic coordinates has a linear section at a small scattering multiplicity, and when the fractal dimension changes, the slope and length of this section change. Calculations have shown that with an increase in the scattering multiplicity, the slope of the linear section first decreases, and then the linear section practically disappears.</p>