| 1966: |
Member: American Academy of Arts and Sciences |
| 1970: |
Distinguished Scientific Contributions Award, American Psychological Association |
| 1972: |
Member: National Academy of Sciences |
| 1975: |
Phi Beta Kappa |
| 1986-1987: |
American Association for the Advancement of Science Prize for Behavioral Science Research |
| 1994: |
Member: American Philosophical Society |
| 2001: |
UCI Medal |
| 2001: |
Gold Medal Award for Life Achievement in the Science of Psychology, American Psychological Foundation |
| 2003: |
Frank P. Ramsey Medal of the Decision Analysis Society |
| 2003: |
National Medal of Science (presented in 2005) |
| 2007: |
University of Waterloo, Honorary Doctorate of Mathematics |
| 1945: |
Tau Beta Pi |
| 1945: |
Sigma Xi |
| 1954-1955: |
Fellow, Center for Advanced Study in the Behavioral Sciences |
| 1963: |
Society of Experimental Psychologists |
| 1965: |
Lester R. Ford award for an expository paper in The American Mathematical Monthly in 1994 |
| 1966-1967: |
Fellow, Center for Advanced Study in the Behavioral Sciences |
| 1966-1967: |
Senior Post-doctoral Fellowship, National Science Foundation |
| 1968-1969: |
Visiting Professor, Organization of American States, Rio de Janeiro, Brazil |
| 1976: |
MA (honorary) Harvard University |
| 1980-1981: |
Guggenheim Fellowship |
| 1984-1985: |
Visitor, AT&T Bell Laboratories, Murray Hill, NJ |
| 1987-1988: |
Fellow, Center for Advanced Study in the Behavioral Sciences |
| 1994: |
UCI Distinguished Faculty Lectureship Award for Research |
| 1994: |
American Psychological Foundation, F.J. McGuigan Lecturer |
| 1996: |
Man of the Year-1996, American Biographical Institute |
| 1996-1997: |
International Man of the Year, International Biographical Centre, Cambridge, England |
| 1999: |
International Man of the Millennium, International Biographical Centre, Cambridge, England |
| 2003: |
The Daniel G. Aldrich, Jr. Award for Distinguished University Service, UCI |
| 2004: |
Norman Anderson Award for Lifetime Contributions to Psychology, Society for Experimental Psychologists |
| 2007: |
UCI Alumni Association Extraordinarius Award |
| 2008: |
Journal of Mathematical Psychology, Outstanding Paper Award for 2005-07, to Ragnar Steingrimsson and Luce, Journal of mathematical psychology, 51, 29-44 |