A photo of DeLillo accepting the 2009 Common Wealth award.

Since the late seventies DeLillo has one a number of awards for his work. Here are the ones I know about:
Eight poets and two fiction writers and their affiliate organizations were selected as 1995 recipients of the Lila Wallace-Reader's Digest Writers' Awards... The fiction writers were Don DeLillo of Bronxville, New York, and the Alzheimer's Association, Westchester Chapter; and Mona Simpson of Santa Monica, California, and PEN Center USA West.
The writers will receive $35,000 annually for three years and the organizations will receive grants of approximately $10,000 per year.
The Writers' Awards are given annually to provide financial support for talented writers and to encourage interactions between writers and cultural, educational, and community organizations. Recipients are selected by an anonymous panel of writers and editors. There is no application process.
On January 30, 1997 the New York Times published a story that details DeLillo's work with Alzheimer's patients, entitled "Writing that Can Strengthen the Fraying Threads of Memory" by Ralph Gardner Jr (Sec. C, page 1).
Don DeLillo has been named the recipient of the 1999 Jerusalem Prize, the international literary prize awarded during the Jerusalem International Book Fair to a writer whose work expresses the theme of the freedom of the individual in society.
DeLillo is the first American writer to be awarded the Prize, which has been awarded every other year since 1963 to writers including Milan Kundera, Mario Vargas Llosa, and V.S. Naipaul.
DeLillo gave an Acceptance Address in Jerusalem entitled "A History of the Writer Along in a Room" - more details can be found on the Other Writing page.
The William Dean Howells Medal is awarded every five years by the members of the American Academy of Arts and Letters for the 'most distinguished work of American fiction published during the previous five years'. The award was given for Underworld on May 17, 2000 at the annual ceremonial of the Academy in New York City, and John Updike, the 1995 recipient, presented the medal. Previous winners include Willa Cather, William Faulkner, William Styron, and E.L. Doctorow.
The "Riccardo Bacchelli" International Award is a newly established biennial award, and "is awarded to an Italian or foreigner novel by a living author, published in the last five years and already translated into Italian language." The award was given for Underworld on December 16, 2000 in Bologna, Italy and DeLillo attended in person. The award is given "in the name of Riccardo Bacchelli, the eclectic and brilliant Bolognese intellectual, well-known in all Europe, who travelled through every literary territory in his life, from the novel to poetry, theatre, literary and musical criticism, journalism and the historical essay."
Here's a link
to more information.