| Hilldale Award in the Physical Sciences, University of Wisconsin-Madison | F. Fleming Crim |
| Fellow, American Chemical Society | F. Fleming Crim |
| Silver Medal and Centenary Lectureship, Royal Society of Chemistry, London | F. Fleming Crim |
| Irving Langmuir Award in Chemical Physics, American Chemical Society | F. Fleming Crim |
| Member, National Academy of Sciences | F. Fleming Crim |
| Earl K. Plyler Prize for Molecular Spectroscopy, American Physical Society | F. Fleming Crim |
| Fellow, American Academy of Arts and Sciences | F. Fleming Crim |
| Fellow, American Association for the Advancement of Science | F. Fleming Crim |
| Fellow, Japan Society for the Promotion of Science | F. Fleming Crim |
| Max Planck Research Award (with Juergen Troe) | F. Fleming Crim |
| Upjohn Teaching Award, Department of Chemistry, University of Wisconsin | F. Fleming Crim |
| Chancellor's Award for Excellence in Teaching, University of Wisconsin-Madison | F. Fleming Crim |
| Fellow, American Physical Society | F. Fleming Crim |
| Alexander von Humboldt Senior U.S. Scientist Award | F. Fleming Crim |
| Camille and Henry Dreyfus Teacher-Scholar | F. Fleming Crim |
| Fellow, Alfred P. Sloan Research Foundation | F. Fleming Crim |