As part of the synthesis of new matrix materials for vitrifcation of highly active radioactive wastes, the crystalline phases formed during rapid cooling from melts of the Na2O–Rb2O–SrO(Ba)–B2O3– SiO2–Al2O3–ZrO2 system with a high Rb and Zr content (up to 10 mol. %) are found and studied. The presence of numerous Zr and Rb-bearing crystals in samples is established by electron microscopy, X-ray diffraction and Raman spectroscopy; their morphology, chemical composition and spectral characteristics are studied. It is concluded that these crystalline phases form due to the excessive content of individual components of the melt and their formation is responsible for the undesirable fnal local heterogeneity and crystallization of matrix materials.