He was reappointed Dean of the Yale School of Art for a second five-year period beginning July 2011 and was the first American commissioner of the Venice Biennale in 2007. He has taught at the CUNY graduate center and the Bard Center for Curatorial Studies as well as the Rhode Island School of Design, Tyler School of Art, New York Studio School and Harvard University, and has been a frequent lecturer in this country and abroad.
From 1990 to 2002 Storr was Curator, becoming Senior Curator, in the Department of Painting and Sculpture at the Museum of Modern Art. As a curator, Storr made his mark early with a number of major exhibitions at MoMA and elsewhere, which enhanced the public prominence of such artists as Elizabeth Murray, Gerhard Richter, Max Beckmann, Tony Smith and Robert Ryman. He also organized a number of reinstallations of MoMA's permanent collection, covering such topics as abstraction and the modern grotesque. From 2002 to 2006 he was the first Rosalie Solow Professor of Modern Art at the Institute of Fine Arts, New York University. He is considered to be one of the most influential Americans in the art world.
Storr has been described as "an artist who's logged enough studio time to have a special regard for painters' painters ... and a gifted writer who can make us appreciate them, too." and a "vital link between the museum world and academia."
Over the years, Storr has written for the following publications: Art in America, Artforum, Art Press, New York Times, Washington Post, Village Voice, Art & Design, Interview, etc. Until April 2011 his regular column 'View from the Bridge' appeared in Frieze magazine.
Among many honors, he has been awarded a Penny McCall Foundation Grant for painting, a Norton Family Foundation Curator Grant, and honorary doctorates from the School of the Art Institute of Chicago, the Maine College of Art and Swarthmore College. He also received awards from the American Chapter of the International Association of Art Critics, a special AICA award for Distinguished Contribution to the Field of Art Criticism, an ICI Agnes Gund Curatorial Award, and the Lawrence A. Fleischman Award for Scholarly Excellence in the Field of American Art History from the Smithsonian Institution's Archives of American Art. In 2000 the French Ministry of Culture presented him with the medal of Chevalier des Arts et des Lettres. Complementing his career as a curator, writer, painter and teacher, he serves on the Art Advisory Council of the International Foundation for Art Research (IFAR).
Storr's published writings encompass 289 works in 390 publications in 12 languages and 18,002 library holdings.
- How to Look: Ad Reinhardt Art Comics, 2013
- In direzione ostinata e contraria: scritti sull'arte contemporanea, 2011
- September: A History Painting by Gerhardt Richter, 2009
- Gerhardt Richter: the Cage Paintings, 2009
- Think with the senses, feel with the mind: art in the present tense, 2007
- Elizabeth Murray, 2005
- Popped Art, 2005
- Touching Down Lightly, 2005
- Disparities & Deformations: Our Grotesque, 2004
- Louise Bourgeois, 2003
- Gerhard Richter: Doubt and Belief in Painting, 2003
- Nancy Spero : The War Series, 1966-1970, 2003
- Gerhard Richter: Forty Years of Painting, 2002
- Philip Pearlstein Since 1983, 2002
- Modern Art Despite Modernism, 2000
- Gerhard Richter : October 18, 1977
- On the edge : contemporary art from the Werner and Elaine Dannheisser collection, 1998
- Chuck Close, 1998
- Franz West, 1997
- Bruce Nauman, 1995
- Between a rock and a hard place, 1994
- Robert Ryman, 1993
- Devil on the Stairs: Looking Back on the Eighties, 1991
- Dislocations, 1991
- Art, censorship and the First Amendment: this is not a test, 1991
- Philip Guston, 1986
- Tilted Arc: Enemy of the People?, 1985
- 'Three to Receive Honorary Degrees at Commencement 2008', Swarthmore College News and Information, undated. Retrieved 18 May 2008.
- 'The Most Influential Americans in Art', New York Magazine, 7 May 2006. Retrieved 6 December 2007.
- 'Yale University press release', undated. Retrieved 6 December 2007.
- International Foundation for Art Research, about IFAR
- WorldCat Identities: Robert Storr
- Form/Space Atelier Exhibits Robert Storr's Autograph And Other Work 
- Watch Chuck Close and Robert Storr in Conversation on BUniverse
- Venice Bienniale website, English version.
- "The Most Influential Americans in Art", in New York magazine, accessed 5 October 2006.
- "Critic, artist and curator Robert Storr named Dean of the Yale School of Art". Yale University press release, February 28, 2006.