The article eximines the basic stages of evolution of the SSU. The main attention focused at the two sides of this process: the buildings construction and perfection of educational process. The author discribes how the university became one of the largest educational centers with more then 30 thousands students and post-graduates and more then a dozen Departments and Institutes now, from the small educational institution located in a single building with just 92 students. The article prepared on the basic of wide range of source and the memoirs of the author, who holds different educational positions in the SSU for more then 60 years.