Abstract. The work is devoted to a high-resolution spectroscopy study of the perovskite-type single crystals of LaAlO3 doped with non-Kramers rare-earth ions of praseodymium, holmium and thulium. Doublets of a specific shape were observed in the spectra, which we attribute to the presence of random deformations in the crystals.It has been shown earlier that for dielectric crystals doped with rare-earth (RE) ions random deformations of the crystal lattice may result in a specific shape (with a narrow dip in the center) of spectral lines corresponding to transitions between crystal-field (CF) singlets (or Kramers doublets) and non-Kramers doublets [1][2][3]. In particular, a well resolved splitting of RE spectral lines caused by random lattice strains was observed in the spectra of tetragonal centers in LiYF4:Tm 3+ [1] and CaWO4:Ho 3+ [3] crystals and of cubic centers in hexafluoroelpasolite crystals doped with Sm, Er, Tm, or Yb [2]. It is of interest to observe such effect in the spectra of trigonal centers, in which non-Kramers ions also possess doubly degenerate CF levels.We have chosen a LaAlO3 crystal that belongs to the family of perovskites, possesses a pseudo cubic structure, and has a promising application potential. RE 3+ ions in this compound substitute for La 3+ which occupies a single crystallographic position with the D3 point symmetry. There are Г1 and Г2 singlet and Г3 doublet CF levels for a non Kramers RE 3+ ion residing in the D3 symmetry position. . A splitting of several spectral lines corresponding to the Г1, Г2o Г3 transitions was observed (see, e.g., Fig. 1). We attribute this splitting to a combined action of the magnetic hyperfine interaction and random deformations of the crystal lattice.The theory developed in Refs. [1][2][3] enabled to successfully model the line shapes and gave a tool for getting a quantitative estimate for the concentration of intrinsic lattice defects, by comparing experimental and calculated spectral shapes. To perform such calculations, the CF and electron-deformation interaction parameters are necessary. These