Winners of awards:

• Nobel Prize – L. V. Kantorovich (1975)
• Lenin Prize – E. B. Evreinov (1957); D. V. Shirkov (1958); S. K. Godunov (1959); M. M. Lavrent’ev (1962); A. I. Mal’tsev (1964);
  L. V. Kantorovich (1965); Yu. I. Zhuravlev (1966)
• State prize – S. L. Sobolev (1941, 1951, 1953, 1986); A. D. Alexandrov (1942); A. I. Mal’tsev (1946);
  L. V. Kantorovich (1949); A. A. Borovkov (1979); D. V. Shirkov (1984); S. V. Uspenskii (1986); M. M. Lavrent’ev;
  Yu. E. Anikonov; V. R. Kireitov; V. G. Romanov (1987)
• Hero of Socialist Labor – S. L. Sobolev (1951)
• Prize of the Council of Ministers of the USSR – V. L. Makarov; V. D. Marshak (1982)
• Prize of the President of the Russian Federation in the field of education for the year 2000 –
  V. S. Belonosov; T. I. Zelenyak; A. A. Nikitin (foto); D. M. Smirnov (foto)
• The Prize of the Government of the Russian Federation in the field of education for the year 2002 -
  A. A. Borovkov
• State Prize of the Russian Federation of 2002 year in the field of science and technology – Yu. L. Ershov
• The Prize of the Government of the Russian Federation of 2008 year in the field of education - A. A. Nikitin
• The Prize of the Government of the Russian Federation of 2010 year in the field of education -
  Yu. L. Ershov; S. S. Goncharov; L. L. Maksimova; I. A. Malcev; E. A. Palyutin; S. V. Sudoplatov

  Awards and medals of the Russian Academy of Sciences:

• Lomonosov Gold medal – S. L. Sobolev (1988)
• Euler Gold medal – A. D. Alexandrov (1991); S. K. Godunov (2022)
• Kantorovich Prize – V. A. Vasil'ev (2005)
• Krylov Prize – S. K. Godunov (1972)
• Lavrent’ev Prize – S. K. Godunov (1993); T. I. Zelenyak (2003); M. M. Lavrent’ev (jr) (2003); Yu. G. Reshetnyak (2018)
• Lobachevskii Prize – A. D. Alexandrov (1951); Yu. G. Reshetnyak (2000)
• Mal’tsev Prize – S. S. Goncharov (1997); Yu. L. Ershov (1992); L. L. Maksimova (2009); V. D. Mazurov (2018)
• Markov Prize – A. A. Borovkov (2003)
• Kolmogorov Prize - A. A. Borovkov (2015); A. A. Mogul'skii (2015)
• Kovalevskaya Prize - I. A. Taimanov (2018)
• Lyapunov Prize - А. Е. Mironov (2022)

  Awards and medals:

• Fields Medal – E. I. Zelmanov (1994)
• Medal "Computer Pioneer" of IEEE Computer Society – A. A. Lyapunov (1996)
• The Prize of the Lavrent’ev Fund – S. K. Godunov (2005); Yu. L. Ershov (2007); S. S. Goncharov (2017)
• The Moore Prize of the American Mathematical Society – I. P. Shestakov (with U. Umirbaev) (2007)
• Demidov Prize – Yu. L. Ershov (2013)

  Award and medals for young scientists:

• Medal of Russian Academy of Sciences - M. A. Grechkoseeva (2005); E. P. Vdovin (2006); A. V. Zavarnitsin (2006)
• Aleksandrov Prize – M. V. Korobkov (2005); Y. V. Bazaikin (2008); N. V. Abrosimov (2011); S. V. Selivanova (2012)
• Kantorovich Prize – P. S. Rouzankin (2002); A. N. Glebov (2005); A. E. Trubacheva (2008); M. B. Karmanova (2011);
  A. Ed. Frid (2012); A. A. Taranenko (2021)
• Mal’tsev Prize – P. E. Alaev (1999); N. Yu. Makarenko (2002); V. G. Puzarenko (2005); M. V. Semenova (2008);
  P. S. Kolesnikov (2011); M. A. Grechkoseeva (2012)
• Sobolev Prize – M. A. Sychev (1999); D. R. Ahmetov (2002); N. N. Romanovskii (2005); M. V. Korobkov (2008);
  A. I. Parfenov (2012)
• Vekua Prize – A. E. Mironov (2008)
• The Prize of the Lavrent’ev Fund – E. A. Biberdorf (2005); E. P. Vdovin (2007); N. A. Bazhenov (2017)
• Ovsievich Prize – A. E. Trubacheva (2010) (diploma)

  Awards of Sobolev Institute of Mathematics

  Honors and awards private funds:

• Foundation "Dynasty" - L. L. Maksimova (2014); M. V. Korobkov (2014); A. E. Mironov (2014, 2011);
  I. A. Mednykh (2011); I. V. Bazaikin (2010)
• European scientific-industrial chamber - S. K. Godunov (2015) (diploma); S. S. Kutateladze (2015) (diploma)