2015   2015 Gruber Cosmology Prize
2013   The White House Champions of Change
2012   James Craig Watson Medal
2011   Catherine Wolfe Bruce Gold Medal
2009   Chinese Academy of Sciences Einstein Professorship
2004   Royal Astronomical Society Gold Medal
2001   Golden Plate Award of the American Academy of Achievement
2000   U. S. National Medal of Science
1999   Karl Schwarzschild Medal of the Astronomische Gesellschaft
1993   Vainu Bappu Memorial Award of the Indian National Science Academy
1992   Fellow of the American Association for the Advancement of Science
1985   Smithsonian Institution's Regents Fellowship
1980   Henry Norris Russell Prize of the American Astronomical Society
1977   Sherman Fairchild Fellowship of California Institute of Technology
1972   Helen B. Warner Prize of the American Astronomical Society
1970-72 Alfred P. Sloan Fellowship
1960-65 National Science Foundation Fellowship