Dedicated t o Professor 0. BRUMMER on the occasion of his 60th birthdayThe X-ray emission spectroscopy as an experimental method to study the electronic structure of a substance has been formed in the thirties of our century. I n the first experimental works the investigators have met with serious difficulties when interpreted the X-ray emission spectra. A simple concept of the atoms proved not to allow for explaining the structure of the X-ray emission bands. I n the experimental works a large actual material on the width of the valence band, on the energy distribution of valence electrons with various symmetry in metals, semiconductors and dielectrics was obtained. By developing a quantum theory of the solid and first of all the oneelectron approach to calculate the energyband structure of crystaIs it might be possible to interpret this great number of the experimental data. The last decade is characterized by very high development of computational physics. It resulted in an appearance of a great number of the new methods for calculation of the electronic structure of solids and a great number of modifications of such known methods as the augmented plane-waves (APW), Green functions, linear combinations of atomic orbitals and others.The X-ray emission spectroscopy may be a criterium for applying these methods to investigate the electronic structure of the substances. This spectroscopy provides an information about energy electron distributions with various symmetry in a filled part of the valence band.We aplied the nonrelativistic symmetrized APW method to calculate the band structure of some compounds Ti in the CsCI-type phases and compounds SrTiO, also with a structure of perovskite (a spatial group 0;). Crystalline "muffin-tin" (MT) potential was constructed on the scheme as reported (by VOLF et al.). Atomic charge densities were calculated in Hartree-Fock-Slater approximation for neutral atomic configurations (HERMAN, SKILLMAN). The exchange potential was determined in Slater approximation with a = 1. Radii of MT spheres were selected according to conditions of atomic potential equality being in the compound in the contact point of the spheres. We used MATTHEISS potential in SrTiO, compound. The values of Iattice constants and of MT-sphere radii also are presented in Table 1. The proper values of energy E ( K ) were determined with an accuracy to 0.001 Ry. The total and partial local densities of states were ploted on 5. lo6 points K by using quadratic interpolating scheme (MUELLER et al.). Further, we calculated the intensity distributions in X-ray emission K-spectra of titanium in TiLi, TiTc, TiRu and SrTiO, compounds (Fig.