First results are reported on statistical tomography of kilometer-scale irregularities in the F layer high-latitude ionosphere from amplitude data of satellite radio probing. Basic formulae for statistical tomography of three-dimensionally (3-D) anisotropic small-scale irregularities are presented. It is shown that 3-D anisotropy disguises spatial distribution of irregularities but is not an insuperable difficulty for tomographic reconstruction. An example is shown of imaging the spatial distribution of the variance of electron density fluctuations over the Kola peninsula in February 1996. Iterative procedure of tomographic inversion was used in the reconstruction. Further steps of applying statistical tomographic approach are outlined.