There are two ways of admission for international students.
I. through government scholarship allocated by the Ministry of Education and Science of the Russian Federation
Then you need to register and send your application to https://russia.study/en
More information is available on their official website.
II. through University’s Central Admission Office
Note that there are only few courses available in English, and if you are applying through University’s Central Admission Office you will be required to pass an entrance exam in Russian language. Therefore, international students are strongly advised to take the Foundation Course, which is a one-year preparatory course in Russian language.