| 1960-62 |
Alfred P. Sloan Research Fellowship |
| 1964- |
Foreign Membership, Brazilian Academy of Science |
| 1965 |
Veblen Prize, American Mathematical Society |
| 1966 |
Fields Medal, International Mathematical Union |
| 1967 |
University of Michigan Sesquicentennial Award |
| 1967- |
Membership, American Academy of Arts and Sciences |
| 1967-68, 79-80, 90 |
Research Professorship Miller Institute for Basic Research in Science, Berkeley |
| 1970- |
Membership, National Academy of Sciences |
| 1972 |
Colloquium Lectureship, American Mathematical Society |
| 1974 |
Honorary D. Sc., University of Warwick, England |
| 1983- |
Election as Fellow, The Econometric Society |
| 1983 |
Faculty Research Lectureship, University of California, Berkeley |
| 1987 |
Honorary D. Sc., Queens University, Kingston, Ontario |
| 1988 |
Chauvenet Prize, Mathematical Association of America |
| 1989 |
Von Neumann Award, Society for Industrial and Applied Mathematics |
| 1990 |
Honorary Membership in Instituto de Mathematics Pura ed Aplicada (IMPA) Rio de Janeiro |
| 1993 |
Fellow of the Japan Society for the Promotion of Science |
| 1994 |
Class of the Grand Cross of the Brasilian National Order of Scientific Merit |
| 1996 |
Honorary Doctor of Science, University of Michigan |
| |
National Medal of Science, Washington, D.C. |
| 1997 |
Doctor Honoris Causa, Universite Pierre et Marie Curie, Paris |
| |
Honorary Doctor of Science, City Univerisity of Hong Kong |
| |
Honorary Professor, University of Yunnan, Kunming |
| |
Honorary Member of the Moscow Mathematical Society |
| 1998 |
Honorary Member of the London Mathematical Society |
| 1999 |
Honorary Doctorate of Rostov State University |
| 2000 |
Crimean Astrophysical Observatory and Institute of Applied Astronomy of Russian Academy of Science named a newly discovered minor planet "Smale Planet" |
| 2006 |
Wolf Prize, International Mathematical Union |
| ...... |
More ... |
